JELET FULL MOCKTEST 2

1.

The brain of any computer system is

CPU

ALU

MEMORY

CONTROL UNIT

The brain of any computer system is the CPU (Central Processing Unit). The CPU is responsible for executing instructions, performing calculations, and coordinating the activities of all the other hardware components in the computer system. It is considered the brain because it carries out all the necessary computations and operations that allow the computer to function. The CPU is composed of several components, including the control unit, arithmetic logic unit (ALU), and memory. Together, these components work together to process and execute instructions, making the CPU the most essential part of a computer system.

Explanation

The brain of any computer system is the CPU (Central Processing Unit). The CPU is responsible for executing instructions, performing calculations, and coordinating the activities of all the other hardware components in the computer system. It is considered the brain because it carries out all the necessary computations and operations that allow the computer to function. The CPU is composed of several components, including the control unit, arithmetic logic unit (ALU), and memory. Together, these components work together to process and execute instructions, making the CPU the most essential part of a computer system.

2. The binary system uses powers of

10

8

2

16

The binary system uses powers of 2. In the binary system, each digit represents a power of 2 starting from the rightmost digit. The rightmost digit represents 2^0, the next digit represents 2^1, the next represents 2^2, and so on. This is because the binary system is a base-2 system, meaning it only has two digits, 0 and 1. Each digit in a binary number can be either 0 or 1, and the value of the number is calculated by adding up the products of the digits and their corresponding powers of 2.

Explanation

The binary system uses powers of 2. In the binary system, each digit represents a power of 2 starting from the rightmost digit. The rightmost digit represents 2^0, the next digit represents 2^1, the next represents 2^2, and so on. This is because the binary system is a base-2 system, meaning it only has two digits, 0 and 1. Each digit in a binary number can be either 0 or 1, and the value of the number is calculated by adding up the products of the digits and their corresponding powers of 2.

3. Which one is the intensity level of noise

Centimeter

Decibel

Newton

Watt

The intensity level of noise is measured in decibels (dB). Decibels are a unit of measurement used to quantify the intensity or loudness of sound. It is a logarithmic scale that represents the ratio between the sound pressure level and a reference level. The higher the decibel value, the louder the noise. Therefore, decibel is the correct answer for the intensity level of noise.

Explanation

The intensity level of noise is measured in decibels (dB). Decibels are a unit of measurement used to quantify the intensity or loudness of sound. It is a logarithmic scale that represents the ratio between the sound pressure level and a reference level. The higher the decibel value, the louder the noise. Therefore, decibel is the correct answer for the intensity level of noise.

4. Which of the following is the 1's complement of 10?

110

01

11

10

The 1's complement of a binary number is obtained by flipping all the bits. In this case, the binary representation of 10 is 1010. Flipping all the bits gives us 0101, which is equivalent to the decimal number 5. Therefore, the 1's complement of 10 is 01.

Explanation

The 1's complement of a binary number is obtained by flipping all the bits. In this case, the binary representation of 10 is 1010. Flipping all the bits gives us 0101, which is equivalent to the decimal number 5. Therefore, the 1's complement of 10 is 01.

5. Which one correct?

Option a

Option b

Option c

Option d

not-available-via-ai

Explanation

not-available-via-ai

6. In which of the following methods proper choice of initial value is very important?

Bisection method

False position

Newton-Raphson

Bairsto method

In the Newton-Raphson method, the proper choice of initial value is very important. This is because the method relies on finding the root of a function by iteratively improving an initial guess. If the initial value is chosen poorly, it can lead to convergence issues or the method may fail to find the correct root altogether. Therefore, selecting an appropriate initial value is crucial for the success of the Newton-Raphson method.

Explanation

In the Newton-Raphson method, the proper choice of initial value is very important. This is because the method relies on finding the root of a function by iteratively improving an initial guess. If the initial value is chosen poorly, it can lead to convergence issues or the method may fail to find the correct root altogether. Therefore, selecting an appropriate initial value is crucial for the success of the Newton-Raphson method.

7. Which part interprets program instructions and initiate control operations.

CONTROL UNIT

LOGIC UNIT

INPUT

NONE

The control unit is responsible for interpreting program instructions and initiating control operations. It is a crucial component of a computer's central processing unit (CPU) that coordinates and directs the flow of data and instructions within the computer system. It fetches instructions from memory, decodes them, and executes them by sending signals to other parts of the computer to perform the necessary operations. Without the control unit, the computer would not be able to effectively process and execute program instructions.

Explanation

The control unit is responsible for interpreting program instructions and initiating control operations. It is a crucial component of a computer's central processing unit (CPU) that coordinates and directs the flow of data and instructions within the computer system. It fetches instructions from memory, decodes them, and executes them by sending signals to other parts of the computer to perform the necessary operations. Without the control unit, the computer would not be able to effectively process and execute program instructions.

8. Which one correct?

Option a

Option b

Option c

Option d

not-available-via-ai

Explanation

not-available-via-ai

9. The list of coded instructions is called

Algorithm

Computer program

Flowchart

None of these

A computer program is a set of coded instructions that are written in a specific programming language and can be executed by a computer. It is a list of instructions that tells the computer what tasks to perform in order to achieve a desired outcome. Algorithms and flowcharts can be used as tools to design and plan a computer program, but the actual coded instructions themselves are what make up the computer program. Therefore, the correct answer is "Computer program".

Explanation

A computer program is a set of coded instructions that are written in a specific programming language and can be executed by a computer. It is a list of instructions that tells the computer what tasks to perform in order to achieve a desired outcome. Algorithms and flowcharts can be used as tools to design and plan a computer program, but the actual coded instructions themselves are what make up the computer program. Therefore, the correct answer is "Computer program".

10. The convergence of which of the following method depends on initial assumed value?

False position

Gauss Seidel method

Newton Raphson method

Euler method

The Newton Raphson method is an iterative numerical method used to find the roots of a function. It relies on making an initial guess or assumption about the root and then iteratively refining that guess until it converges to the actual root. The convergence of the method depends heavily on the initial assumed value. If the initial guess is far from the actual root, the method may fail to converge or converge to a different root. Therefore, the accuracy and efficiency of the Newton Raphson method are highly dependent on the initial assumption.

Explanation

The Newton Raphson method is an iterative numerical method used to find the roots of a function. It relies on making an initial guess or assumption about the root and then iteratively refining that guess until it converges to the actual root. The convergence of the method depends heavily on the initial assumed value. If the initial guess is far from the actual root, the method may fail to converge or converge to a different root. Therefore, the accuracy and efficiency of the Newton Raphson method are highly dependent on the initial assumption.

11. Two dice are thrown simultaneously. what is the probability of getting two numbers whose product is even?

3/4

4/3

8/9

1/3

When two dice are thrown simultaneously, there are a total of 36 possible outcomes (6 possible outcomes for each dice). To find the probability of getting two numbers whose product is even, we need to find the favorable outcomes.

An even number can be obtained either by rolling an even number on both dice or by rolling an odd number on one dice and an even number on the other dice.

The probability of rolling an even number on one dice is 3/6 (3 even numbers out of 6 possible outcomes). So, the probability of rolling an odd number on the other dice is 3/6 as well.

The probability of rolling an even number on both dice is (3/6) * (3/6) = 9/36.

The probability of rolling an odd number on one dice and an even number on the other dice is (3/6) * (3/6) = 9/36.

Adding these two probabilities, we get 9/36 + 9/36 = 18/36 = 1/2.

Therefore, the probability of getting two numbers whose product is even is 1/2.

However, none of the given options match this answer, so the correct answer is not provided.

Explanation

When two dice are thrown simultaneously, there are a total of 36 possible outcomes (6 possible outcomes for each dice). To find the probability of getting two numbers whose product is even, we need to find the favorable outcomes.

An even number can be obtained either by rolling an even number on both dice or by rolling an odd number on one dice and an even number on the other dice.

The probability of rolling an even number on one dice is 3/6 (3 even numbers out of 6 possible outcomes). So, the probability of rolling an odd number on the other dice is 3/6 as well.

The probability of rolling an even number on both dice is (3/6) * (3/6) = 9/36.

The probability of rolling an odd number on one dice and an even number on the other dice is (3/6) * (3/6) = 9/36.

Adding these two probabilities, we get 9/36 + 9/36 = 18/36 = 1/2.

Therefore, the probability of getting two numbers whose product is even is 1/2.

However, none of the given options match this answer, so the correct answer is not provided.

12. What kVA rating is required for a transformer that must handle a maximum load current of 8 A with a secondary voltage of 2 kV?

4 kVA

0.25 kVA

16 kVA

8 kVA

The kVA rating required for a transformer can be calculated by multiplying the load current in amperes by the secondary voltage in kilovolts. In this case, the load current is 8 A and the secondary voltage is 2 kV. Therefore, the kVA rating required is 8 A x 2 kV = 16 kVA.

Explanation

The kVA rating required for a transformer can be calculated by multiplying the load current in amperes by the secondary voltage in kilovolts. In this case, the load current is 8 A and the secondary voltage is 2 kV. Therefore, the kVA rating required is 8 A x 2 kV = 16 kVA.

13. An electromagnetic field exists only when there is

An increasing current

Decreasing current

Voltage

current

An electromagnetic field exists only when there is a current. This is because an electromagnetic field is generated by the flow of electric charge, which is carried by a current. Without a current, there is no flow of charge and therefore no electromagnetic field. Both increasing and decreasing currents can generate electromagnetic fields, as long as there is a flow of charge. Voltage, on the other hand, is a measure of the potential difference between two points in a circuit and does not directly create an electromagnetic field.

Explanation

An electromagnetic field exists only when there is a current. This is because an electromagnetic field is generated by the flow of electric charge, which is carried by a current. Without a current, there is no flow of charge and therefore no electromagnetic field. Both increasing and decreasing currents can generate electromagnetic fields, as long as there is a flow of charge. Voltage, on the other hand, is a measure of the potential difference between two points in a circuit and does not directly create an electromagnetic field.

14. Main pollutants released from iron & steel industry is

CO, CO2 & SO2

H2S, NO & SO3.

CO2, H2S & NO2.

None

The main pollutants released from the iron & steel industry are CO (carbon monoxide), CO2 (carbon dioxide), and SO2 (sulfur dioxide). These pollutants are released during various processes in the industry, such as the combustion of fossil fuels and the smelting of iron ore. CO is a toxic gas that can cause health issues and contribute to air pollution. CO2 is a greenhouse gas that contributes to climate change. SO2 is a harmful gas that can cause respiratory problems and contribute to acid rain. Therefore, the correct answer is CO, CO2, and SO2.

Explanation

The main pollutants released from the iron & steel industry are CO (carbon monoxide), CO2 (carbon dioxide), and SO2 (sulfur dioxide). These pollutants are released during various processes in the industry, such as the combustion of fossil fuels and the smelting of iron ore. CO is a toxic gas that can cause health issues and contribute to air pollution. CO2 is a greenhouse gas that contributes to climate change. SO2 is a harmful gas that can cause respiratory problems and contribute to acid rain. Therefore, the correct answer is CO, CO2, and SO2.

15. The force applied on a body of mass 100 kg to produce an acceleration of 5 m/s², is

20 N

100 N

500 N

None of these

To calculate the force applied on a body, we use the formula F = m*a, where F is the force, m is the mass, and a is the acceleration. In this case, the mass is given as 100 kg and the acceleration is given as 5 m/s^2. Plugging these values into the formula, we get F = 100 kg * 5 m/s^2 = 500 N. Therefore, the correct answer is 500 N.

Explanation

To calculate the force applied on a body, we use the formula F = m*a, where F is the force, m is the mass, and a is the acceleration. In this case, the mass is given as 100 kg and the acceleration is given as 5 m/s^2. Plugging these values into the formula, we get F = 100 kg * 5 m/s^2 = 500 N. Therefore, the correct answer is 500 N.

16. If a rigid body is in equilibrium under the action of three forces, then

(A) These forces are equal

(B) The lines of action of these forces meet in a point

(C) The lines of action of these forces are parallel

(D) Both (B) and (C) above

A

B

C

D

Answer: Option D
Solution: tan2θ = 2q/ (p x - p y) = (2 × 400)/ (1200 – 600) = 1.33
Therefore, 2θ = tan⁻¹ 1.33 = 53.06°
Therefore, pn = 1200 + 600)/ 2 + (1200 – 600)/ 2 × cos 53.06 + 400 sin 530.6
=900 + 180.294 + 319.70
=1400 MPa.
Note:- Normal stress component, (pn ) on a plane:- pn = (p x + p y)/2 + (p x - p y)/2 × cos2θ + q sin2θ
Tangential Stress component, (pt) ¬ on a plane: - pt = (p x - p y)/2 × sin2θ – q cos2θ
Inclination θ between p x and p y is tan 2θ = 2q / (p x - p y)

Explanation

Answer: Option D
Solution: tan2θ = 2q/ (p x - p y) = (2 × 400)/ (1200 – 600) = 1.33
Therefore, 2θ = tan⁻¹ 1.33 = 53.06°
Therefore, pn = 1200 + 600)/ 2 + (1200 – 600)/ 2 × cos 53.06 + 400 sin 530.6
=900 + 180.294 + 319.70
=1400 MPa.
Note:- Normal stress component, (pn ) on a plane:- pn = (p x + p y)/2 + (p x - p y)/2 × cos2θ + q sin2θ
Tangential Stress component, (pt) ¬ on a plane: - pt = (p x - p y)/2 × sin2θ – q cos2θ
Inclination θ between p x and p y is tan 2θ = 2q / (p x - p y)

17. The system of linear equations (4d - 1)x +y + z = 0 - y + z = 0 (4d - 1) z = 0 has a non-trivial solution, if d equals

1/2

1/4

3/4

1

The given system of linear equations has a non-trivial solution if and only if the determinant of the coefficient matrix is equal to zero. The coefficient matrix for the system is:

[4d - 1 1 1]
[ 0 -1 1]
[4d - 1 0 0]

To find the determinant, we can use the cofactor expansion along the first row. Expanding along the first row, we get:

(4d - 1)[(-1)(0) - (1)(0)] - 1[(0)(0) - (4d - 1)(0)] + 1[(0)(1) - (-1)(4d - 1)]
= 0 - 0 + (0 - (-4d + 1))
= 0 + 4d - 1
= 4d - 1

For the system to have a non-trivial solution, the determinant must be equal to zero. Therefore, we have:

4d - 1 = 0
4d = 1
d = 1/4

Hence, the correct answer is 1/4.

Explanation

The given system of linear equations has a non-trivial solution if and only if the determinant of the coefficient matrix is equal to zero. The coefficient matrix for the system is:

[4d - 1 1 1]
[ 0 -1 1]
[4d - 1 0 0]

To find the determinant, we can use the cofactor expansion along the first row. Expanding along the first row, we get:

(4d - 1)[(-1)(0) - (1)(0)] - 1[(0)(0) - (4d - 1)(0)] + 1[(0)(1) - (-1)(4d - 1)]
= 0 - 0 + (0 - (-4d + 1))
= 0 + 4d - 1
= 4d - 1

For the system to have a non-trivial solution, the determinant must be equal to zero. Therefore, we have:

4d - 1 = 0
4d = 1
d = 1/4

Hence, the correct answer is 1/4.

18. For what value of 'a' the vectors 2i^−3j^+4k^ and a^i^+6^j^−8k^ are collinear?

5

-4

-6

10

The vectors 2i^-3j^+4k^ and a^i^+6^j^-8k^ are collinear when they are scalar multiples of each other. In other words, one vector can be obtained by multiplying the other vector by a constant. To find this constant, we can equate the corresponding components of the two vectors and solve for a. By comparing the coefficients of i, j, and k, we get the equations 2 = a and -3 = 6 and 4 = -8. Solving the first equation, we find that a = 2. Therefore, the correct answer is -4.

Explanation

The vectors 2i^-3j^+4k^ and a^i^+6^j^-8k^ are collinear when they are scalar multiples of each other. In other words, one vector can be obtained by multiplying the other vector by a constant. To find this constant, we can equate the corresponding components of the two vectors and solve for a. By comparing the coefficients of i, j, and k, we get the equations 2 = a and -3 = 6 and 4 = -8. Solving the first equation, we find that a = 2. Therefore, the correct answer is -4.

19. In a screw jack, the effort required to lift the load is given by (where W = Load lifted, α = Helix angle, and φ = Angle of friction.)

(A) P = W tan (α - φ)

(B) P = W tan (α + φ)

(C) P = W tan (φ - α)

(D) P = W cos (α + φ)

A

B

C

D

The effort required to lift the load in a screw jack is given by the equation P = W tan (α + φ). This means that the effort required is proportional to the load lifted (W) and the tangent of the sum of the helix angle (α) and the angle of friction (φ). The correct answer is B.

Explanation

The effort required to lift the load in a screw jack is given by the equation P = W tan (α + φ). This means that the effort required is proportional to the load lifted (W) and the tangent of the sum of the helix angle (α) and the angle of friction (φ). The correct answer is B.

20. The moment of inertia of a thin disc of mass 'm' and radius 'r', about an axis through its center of gravity and perpendicular to the plane of the disc is

(A) mr²/2

(B) mr²/4

(C) mr²/6

(D) mr²/8

A

B

C

D

The moment of inertia of a thin disc can be calculated using the formula I = (1/2)mr^2, where m is the mass of the disc and r is the radius. This formula is derived from the parallel axis theorem, which states that the moment of inertia about an axis parallel to and a distance h away from an axis through the center of gravity is equal to the moment of inertia about the center of gravity plus the mass times the square of the distance between the two axes. In this case, since the axis is passing through the center of gravity, the distance h is zero, resulting in the moment of inertia being equal to (1/2)mr^2. Therefore, the correct answer is A.

Explanation

The moment of inertia of a thin disc can be calculated using the formula I = (1/2)mr^2, where m is the mass of the disc and r is the radius. This formula is derived from the parallel axis theorem, which states that the moment of inertia about an axis parallel to and a distance h away from an axis through the center of gravity is equal to the moment of inertia about the center of gravity plus the mass times the square of the distance between the two axes. In this case, since the axis is passing through the center of gravity, the distance h is zero, resulting in the moment of inertia being equal to (1/2)mr^2. Therefore, the correct answer is A.

21. What is the order of the differential equation given by dy/dx+4y=sinx?

0.5

1

2

0

The order of a differential equation is determined by the highest derivative present in the equation. In this case, the highest derivative is dy/dx, which is a first derivative. Therefore, the order of the differential equation is 1.

Explanation

The order of a differential equation is determined by the highest derivative present in the equation. In this case, the highest derivative is dy/dx, which is a first derivative. Therefore, the order of the differential equation is 1.

22. A redundant frame is also called __________ frame.

Perfect

Imperfect

Deficient

None of these

A redundant frame is also called an "imperfect" frame because it contains unnecessary or extra elements that are not required for its structural integrity. These additional elements can add weight and complexity to the frame without providing any significant benefits. Therefore, an imperfect frame is not considered to be the most efficient or optimal design.

Explanation

A redundant frame is also called an "imperfect" frame because it contains unnecessary or extra elements that are not required for its structural integrity. These additional elements can add weight and complexity to the frame without providing any significant benefits. Therefore, an imperfect frame is not considered to be the most efficient or optimal design.

23. The arranging of data in a logical sequence is called:

sorting

Classifying

reproducing

Summarizing

Option 5

Sorting refers to the process of arranging data in a specific order, such as ascending or descending order. This allows for easier access and retrieval of information, as well as making it more organized and structured. Classifying, reproducing, and summarizing do not specifically refer to the arrangement of data in a logical sequence. Therefore, the correct answer is sorting.

Explanation

Sorting refers to the process of arranging data in a specific order, such as ascending or descending order. This allows for easier access and retrieval of information, as well as making it more organized and structured. Classifying, reproducing, and summarizing do not specifically refer to the arrangement of data in a logical sequence. Therefore, the correct answer is sorting.

24. What is the output of this C code ? #include main() { int a=0, b=1; if(b>0) if(a>0) printf("True"); else printf("False"); }

True

False

No output

Run time error

The code initializes two variables, "a" with a value of 0 and "b" with a value of 1. The code then checks if "b" is greater than 0, which is true. However, there is no nested if statement to check if "a" is greater than 0. Therefore, the code will execute the else statement and print "False" as the output.

Explanation

The code initializes two variables, "a" with a value of 0 and "b" with a value of 1. The code then checks if "b" is greater than 0, which is true. However, there is no nested if statement to check if "a" is greater than 0. Therefore, the code will execute the else statement and print "False" as the output.

25. In a simply supported beam (l + 2a) with equal overhangs (a) and carrying a uniformly distributed load over its entire length, B.M. at the middle point of the beam will be zero if

L = 2a

L = 4a

l < 2a

L > a

In a simply supported beam with equal overhangs and carrying a uniformly distributed load, the bending moment (B.M.) at the middle point of the beam will be zero if the length of the beam (l) is equal to twice the length of the overhangs (2a). This is because when the beam has equal overhangs, the load is symmetrically distributed on both sides of the middle point. As a result, the moments created by the load on one side cancel out the moments created by the load on the other side, resulting in a zero bending moment at the middle point.

Explanation

In a simply supported beam with equal overhangs and carrying a uniformly distributed load, the bending moment (B.M.) at the middle point of the beam will be zero if the length of the beam (l) is equal to twice the length of the overhangs (2a). This is because when the beam has equal overhangs, the load is symmetrically distributed on both sides of the middle point. As a result, the moments created by the load on one side cancel out the moments created by the load on the other side, resulting in a zero bending moment at the middle point.

26. Which one correct?

Option a

Option b

Option c

Option d

not-available-via-ai

Explanation

not-available-via-ai

27.

'Pneumoconiosis' is a disease caused by the inhalation of __________ dust.

A.

coal

Uranium ore

Iron ore

Coal

Lime

Pneumoconiosis is a disease caused by the inhalation of coal dust. Coal miners and workers in coal-related industries are particularly at risk for developing this condition. When coal dust is inhaled, it can accumulate in the lungs and cause inflammation and scarring over time. This can lead to symptoms such as coughing, shortness of breath, and chest pain. Therefore, coal dust is the correct answer for the cause of pneumoconiosis.

Explanation

Pneumoconiosis is a disease caused by the inhalation of coal dust. Coal miners and workers in coal-related industries are particularly at risk for developing this condition. When coal dust is inhaled, it can accumulate in the lungs and cause inflammation and scarring over time. This can lead to symptoms such as coughing, shortness of breath, and chest pain. Therefore, coal dust is the correct answer for the cause of pneumoconiosis.

28. The number of kilowatts in 135 milliwatts is

1.35 × 10–4 kW

135 × 10–3 kW

0.0135 kW

0.00135 kW

The given question asks for the number of kilowatts in 135 milliwatts. To convert milliwatts to kilowatts, we divide by 1000 since there are 1000 milliwatts in 1 watt. Therefore, 135 milliwatts is equal to 135/1000 = 0.135 watts. To convert watts to kilowatts, we divide by 1000 again since there are 1000 watts in 1 kilowatt. Therefore, 0.135 watts is equal to 0.135/1000 = 0.000135 kilowatts. In scientific notation, this is represented as 1.35 × 10–4 kW.

Explanation

The given question asks for the number of kilowatts in 135 milliwatts. To convert milliwatts to kilowatts, we divide by 1000 since there are 1000 milliwatts in 1 watt. Therefore, 135 milliwatts is equal to 135/1000 = 0.135 watts. To convert watts to kilowatts, we divide by 1000 again since there are 1000 watts in 1 kilowatt. Therefore, 0.135 watts is equal to 0.135/1000 = 0.000135 kilowatts. In scientific notation, this is represented as 1.35 × 10–4 kW.

29. Which one correct?

Option a

Option b

Option c

Option d

not-available-via-ai

Explanation

not-available-via-ai

30. In a single threaded worm and worm wheel, the number of teeth on the worm is 50. The diameter of the effort wheel is 100 mm and that of load drum is 50 mm. The velocity ratio is

50

100

200

400

The velocity ratio is determined by the ratio of the number of teeth on the worm to the sum of the diameters of the effort wheel and load drum. In this case, the worm has 50 teeth, and the sum of the diameters of the effort wheel (100 mm) and load drum (50 mm) is 150 mm. Therefore, the velocity ratio is 50/150, which simplifies to 1/3 or 0.33. However, since the answer choices are given as whole numbers, the closest whole number to 0.33 is 0. Therefore, the correct answer is 100.

Explanation

The velocity ratio is determined by the ratio of the number of teeth on the worm to the sum of the diameters of the effort wheel and load drum. In this case, the worm has 50 teeth, and the sum of the diameters of the effort wheel (100 mm) and load drum (50 mm) is 150 mm. Therefore, the velocity ratio is 50/150, which simplifies to 1/3 or 0.33. However, since the answer choices are given as whole numbers, the closest whole number to 0.33 is 0. Therefore, the correct answer is 100.

31. Moment of inertia is the

(A) Second moment of force

(B) Second moment of area

(C) Second moment of mass

(D) All of these

A

B

C

D

The correct answer is D. Moment of inertia is the second moment of area, second moment of mass, and second moment of force. This means that moment of inertia is a property that describes how an object's mass or area is distributed around an axis of rotation, as well as how resistant it is to changes in its rotational motion. All three interpretations of moment of inertia are valid and interconnected.

Explanation

The correct answer is D. Moment of inertia is the second moment of area, second moment of mass, and second moment of force. This means that moment of inertia is a property that describes how an object's mass or area is distributed around an axis of rotation, as well as how resistant it is to changes in its rotational motion. All three interpretations of moment of inertia are valid and interconnected.

32. Which one correct?

Option a

Option b

Option c

Option d

not-available-via-ai

Explanation

not-available-via-ai

33. The center of gravity of a quadrant of a circle lies along its central radius (r) at a distance of

0.5 r

0.6 r

0.7 r

0.8 r

The center of gravity of a quadrant of a circle lies along its central radius at a distance of 0.6r. This is because the center of gravity of any symmetrical object lies along its axis of symmetry, which in this case is the central radius. Since the quadrant of a circle is symmetrical, its center of gravity will also lie along the central radius. The distance of 0.6r is a result of the distribution of mass within the quadrant, with the majority of the mass being closer to the center of the circle.

Explanation

The center of gravity of a quadrant of a circle lies along its central radius at a distance of 0.6r. This is because the center of gravity of any symmetrical object lies along its axis of symmetry, which in this case is the central radius. Since the quadrant of a circle is symmetrical, its center of gravity will also lie along the central radius. The distance of 0.6r is a result of the distribution of mass within the quadrant, with the majority of the mass being closer to the center of the circle.

34. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

1/13

3/13

1/4

9/52

The probability of drawing a face card from a deck of 52 cards can be calculated by dividing the number of face cards (12) by the total number of cards in the deck (52). Therefore, the probability is 12/52, which simplifies to 3/13.

Explanation

The probability of drawing a face card from a deck of 52 cards can be calculated by dividing the number of face cards (12) by the total number of cards in the deck (52). Therefore, the probability is 12/52, which simplifies to 3/13.

35.

Most of the atmospheric air pollutants are present in large quantity in

Stratosphere

Thermosphere

Trophosphere

Mesosphere

The correct answer is troposphere. The troposphere is the lowest layer of the Earth's atmosphere, where weather occurs and where most of the atmospheric air pollutants are present. This is because the troposphere is closest to the Earth's surface and is where most human activities and sources of pollution occur. The other layers of the atmosphere (stratosphere, thermosphere, and mesosphere) have different compositions and are not typically associated with high levels of air pollutants.

Explanation

The correct answer is troposphere. The troposphere is the lowest layer of the Earth's atmosphere, where weather occurs and where most of the atmospheric air pollutants are present. This is because the troposphere is closest to the Earth's surface and is where most human activities and sources of pollution occur. The other layers of the atmosphere (stratosphere, thermosphere, and mesosphere) have different compositions and are not typically associated with high levels of air pollutants.

36. The insulation resistance of cables, transformers etc is measured by following instrument

Meggar

Wheatstone bridge

Kelvin bridge

Decade box

The correct answer is "Meggar" because a Meggar is an instrument specifically designed to measure the insulation resistance of cables, transformers, and other electrical equipment. It applies a high voltage to the insulation and measures the current flowing through it, allowing for the determination of the insulation resistance.

Explanation

The correct answer is "Meggar" because a Meggar is an instrument specifically designed to measure the insulation resistance of cables, transformers, and other electrical equipment. It applies a high voltage to the insulation and measures the current flowing through it, allowing for the determination of the insulation resistance.

37. The induced voltage across a coil with 250 turns that is located in a magnetic field that is changing at a rate of 8 Wb/s is

1000v

2000v

31.25v

3.125v

When a coil is located in a magnetic field that is changing, an induced voltage is created in the coil. This induced voltage is given by the equation V = N * dΦ/dt, where V is the induced voltage, N is the number of turns in the coil, and dΦ/dt is the rate of change of the magnetic flux. In this case, the coil has 250 turns and the magnetic field is changing at a rate of 8 Wb/s. Plugging these values into the equation, we get V = 250 * 8 = 2000 V. Therefore, the correct answer is 2000v.

Explanation

When a coil is located in a magnetic field that is changing, an induced voltage is created in the coil. This induced voltage is given by the equation V = N * dΦ/dt, where V is the induced voltage, N is the number of turns in the coil, and dΦ/dt is the rate of change of the magnetic flux. In this case, the coil has 250 turns and the magnetic field is changing at a rate of 8 Wb/s. Plugging these values into the equation, we get V = 250 * 8 = 2000 V. Therefore, the correct answer is 2000v.

38. A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve

Circular arc

Parabola

Hyperbola

Elliptical

When a heavy string is attached at two ends at the same horizontal level and the central dip is very small, it forms a parabolic curve. This is because the force of gravity acting on the string causes it to sag in the middle, creating a shape that resembles a parabola. The parabolic curve is a result of the balanced tension in the string and the force of gravity acting on it.

Explanation

When a heavy string is attached at two ends at the same horizontal level and the central dip is very small, it forms a parabolic curve. This is because the force of gravity acting on the string causes it to sag in the middle, creating a shape that resembles a parabola. The parabolic curve is a result of the balanced tension in the string and the force of gravity acting on it.

39. Which of the following is not the unit of energy?

Kg m

Kcal

Watt

Watt hours

The unit of energy is not Watt. Watt is the unit of power, which is the rate at which energy is transferred or converted. Energy can be measured in units such as joules (J) or kilocalories (kcal), but not in watts.

Explanation

The unit of energy is not Watt. Watt is the unit of power, which is the rate at which energy is transferred or converted. Energy can be measured in units such as joules (J) or kilocalories (kcal), but not in watts.

40. Moment of inertia of a hollow rectangular section as shown in the below figure about X-X axis, is

(BD³/12) - (bd³/12)

(DB³/12) - (db³/12)

(BD³/36) - (bd³/36)

(DB³/36) - (db³/36)

The moment of inertia of a hollow rectangular section about the X-X axis can be calculated by subtracting the moment of inertia of the inner rectangle (bd³/12) from the moment of inertia of the outer rectangle (BD³/12). This is because the moment of inertia of a composite shape can be calculated by adding or subtracting the individual moments of inertia of its component shapes. Therefore, the correct answer is (BD³/12) - (bd³/12).

Explanation

The moment of inertia of a hollow rectangular section about the X-X axis can be calculated by subtracting the moment of inertia of the inner rectangle (bd³/12) from the moment of inertia of the outer rectangle (BD³/12). This is because the moment of inertia of a composite shape can be calculated by adding or subtracting the individual moments of inertia of its component shapes. Therefore, the correct answer is (BD³/12) - (bd³/12).

41. According to Lami's theorem

(A) Three forces acting at a point will be in equilibrium

(B) Three forces acting at a point can be represented by a triangle, each side being proportional to force

(C) If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium

(D) If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two

A

B

C

D

According to Lami's theorem, if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces. This means that the magnitude of each force is directly related to the angle between the other two forces. Therefore, option D is the correct answer as it accurately represents Lami's theorem.

Explanation

According to Lami's theorem, if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces. This means that the magnitude of each force is directly related to the angle between the other two forces. Therefore, option D is the correct answer as it accurately represents Lami's theorem.

42. If the normal cross-section 'A' of a member is subjected to tensile force 'P', the resulting normal stress in an oblique plane inclined at angle 'θ' to transverse plane will be

(A) (P/A) sin²θ

(B) (P/A) cos²θ

(C) (P/2A) sin 2θ

(D) (P/2A) cos 2θ

A

B

C

D

When a member is subjected to tensile force, the resulting normal stress in an oblique plane inclined at an angle θ to the transverse plane can be calculated using the formula (P/A) cos^2θ. This formula takes into account the component of the force acting perpendicular to the plane, which is equal to P cosθ, and divides it by the cross-sectional area A. The cos^2θ term accounts for the inclination of the plane. Therefore, option B, (P/A) cos^2θ, is the correct answer.

Explanation

When a member is subjected to tensile force, the resulting normal stress in an oblique plane inclined at an angle θ to the transverse plane can be calculated using the formula (P/A) cos^2θ. This formula takes into account the component of the force acting perpendicular to the plane, which is equal to P cosθ, and divides it by the cross-sectional area A. The cos^2θ term accounts for the inclination of the plane. Therefore, option B, (P/A) cos^2θ, is the correct answer.

43. Which access method is used for obtaining a record from a cassette tape?

Direct

Random

Sequential

None

Sequential access is the correct answer because it is the access method used for obtaining a record from a cassette tape. In sequential access, data is stored in a sequential manner on the tape, and the tape must be read from the beginning to reach the desired record. This access method is commonly used for devices like cassette tapes, where data is stored and retrieved in a linear fashion.

Explanation

Sequential access is the correct answer because it is the access method used for obtaining a record from a cassette tape. In sequential access, data is stored in a sequential manner on the tape, and the tape must be read from the beginning to reach the desired record. This access method is commonly used for devices like cassette tapes, where data is stored and retrieved in a linear fashion.

44. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

21/46

3/13

12/13

3/8

The probability of selecting 1 girl and 2 boys can be calculated by dividing the number of favorable outcomes (selecting 1 girl and 2 boys) by the total number of possible outcomes (selecting any 3 students). The number of ways to select 1 girl from 10 girls is 10C1, and the number of ways to select 2 boys from 15 boys is 15C2. The total number of ways to select any 3 students from a class of 25 is 25C3. Simplifying the expression (10C1 * 15C2) / 25C3 gives the probability of 21/46.

Explanation

The probability of selecting 1 girl and 2 boys can be calculated by dividing the number of favorable outcomes (selecting 1 girl and 2 boys) by the total number of possible outcomes (selecting any 3 students). The number of ways to select 1 girl from 10 girls is 10C1, and the number of ways to select 2 boys from 15 boys is 15C2. The total number of ways to select any 3 students from a class of 25 is 25C3. Simplifying the expression (10C1 * 15C2) / 25C3 gives the probability of 21/46.

45.

If a loop in a basic dc generator suddenly begins rotating at a faster speed, the induced voltage

Remains unchanged

Reverses polarity

Increases

Decreases

If a loop in a basic dc generator suddenly begins rotating at a faster speed, the induced voltage increases. This is because the induced voltage in a generator is directly proportional to the rate of change of magnetic field strength, which is determined by the speed at which the loop rotates. Therefore, if the speed increases, the rate of change of magnetic field strength also increases, leading to a higher induced voltage.

Explanation

If a loop in a basic dc generator suddenly begins rotating at a faster speed, the induced voltage increases. This is because the induced voltage in a generator is directly proportional to the rate of change of magnetic field strength, which is determined by the speed at which the loop rotates. Therefore, if the speed increases, the rate of change of magnetic field strength also increases, leading to a higher induced voltage.

46. Which of the following computer language is used for artificial intelligence?

FORTRAN

C

PROLOG

COBOL

PROLOG is a computer language that is commonly used for artificial intelligence. It is a declarative programming language that is designed to facilitate logical reasoning and problem-solving. PROLOG is particularly well-suited for tasks that involve complex search algorithms and knowledge representation. It is often used in areas such as expert systems, natural language processing, and automated reasoning.

Explanation

PROLOG is a computer language that is commonly used for artificial intelligence. It is a declarative programming language that is designed to facilitate logical reasoning and problem-solving. PROLOG is particularly well-suited for tasks that involve complex search algorithms and knowledge representation. It is often used in areas such as expert systems, natural language processing, and automated reasoning.

47. A program that is employed in the development, repair or enhancement of other programs is known as

System software

Software tool

Applications programe

None

A software tool refers to a program that is used in the development, repair, or enhancement of other programs. It is specifically designed to assist programmers in various tasks such as debugging, testing, and analyzing code. Unlike system software, which manages and controls the computer hardware, and applications software, which is designed for end-users to perform specific tasks, a software tool is focused on supporting the software development process itself. Therefore, a program that is employed in the development, repair, or enhancement of other programs is known as a software tool.

Explanation

A software tool refers to a program that is used in the development, repair, or enhancement of other programs. It is specifically designed to assist programmers in various tasks such as debugging, testing, and analyzing code. Unlike system software, which manages and controls the computer hardware, and applications software, which is designed for end-users to perform specific tasks, a software tool is focused on supporting the software development process itself. Therefore, a program that is employed in the development, repair, or enhancement of other programs is known as a software tool.

48.

#include<stdio.h>

/* Assume there is a file called 'file.c' in c:\tc directory. */
int main()
{
    FILE *fp;
    fp=fopen("c:\tc\file.c", "r");    
    if(!fp) 
      printf("Unable to open file.");        

    fclose(fp);
    return 0;
}

No error

Program crashes at run time

Output : unable to open file

None of the above

The program will output "Unable to open file" because the fopen function is unable to open the file "c:\tc\file.c" for reading. This could be due to the file not existing or the program not having the necessary permissions to access the file.

Explanation

The program will output "Unable to open file" because the fopen function is unable to open the file "c:\tc\file.c" for reading. This could be due to the file not existing or the program not having the necessary permissions to access the file.

49. Threshold Limit Value (TLV) is the maximum allowable concentration (i.e. safe limit) of pollutants in air. Safe limit for SO₂ in air is __________ ppm.

5

500

1000

3000

The safe limit for SO2 in air is 5 ppm. The Threshold Limit Value (TLV) is the maximum concentration of pollutants that is considered safe for human exposure. In the case of SO2, a safe limit of 5 ppm means that concentrations of SO2 in the air should not exceed this level to prevent harm to human health.

Explanation

The safe limit for SO2 in air is 5 ppm. The Threshold Limit Value (TLV) is the maximum concentration of pollutants that is considered safe for human exposure. In the case of SO2, a safe limit of 5 ppm means that concentrations of SO2 in the air should not exceed this level to prevent harm to human health.

50.

__________ is the process of killing organism in water.

Coagulation

Sterilisation

Disinfection

Sedimentation

Disinfection is the process of killing organisms in water. It involves the use of chemicals or physical methods to eliminate or deactivate microorganisms, such as bacteria, viruses, and parasites, that can cause diseases. This process is essential to ensure that water is safe for consumption and does not pose a health risk to individuals.

Explanation

Disinfection is the process of killing organisms in water. It involves the use of chemicals or physical methods to eliminate or deactivate microorganisms, such as bacteria, viruses, and parasites, that can cause diseases. This process is essential to ensure that water is safe for consumption and does not pose a health risk to individuals.

51. Solution of the differential equation sec² x tan⁡y dx + sec² y tan⁡x dy=0 is _______

(sec x. sec y)=k

(sec x .tany)=k

(tan x. tany)=k

(sec x .tan x)+(sec y .tan y)=k

The given differential equation is solved by separating the variables and integrating. By rearranging the equation, we can rewrite it as sec^2(x)tan(y)dx + sec^2(y)tan(x)dy = 0. Dividing through by sec^2(x)sec^2(y), we get tan(x)tan(y)dx + dy = 0. Integrating both sides, we obtain the solution tan(x)tan(y) + y = k, where k is a constant. Therefore, the correct answer is (tan x. tany) = k.

Explanation

The given differential equation is solved by separating the variables and integrating. By rearranging the equation, we can rewrite it as sec^2(x)tan(y)dx + sec^2(y)tan(x)dy = 0. Dividing through by sec^2(x)sec^2(y), we get tan(x)tan(y)dx + dy = 0. Integrating both sides, we obtain the solution tan(x)tan(y) + y = k, where k is a constant. Therefore, the correct answer is (tan x. tany) = k.

52. If ax² + bx + c < 0, x Î R then ax² + bx + c = 0 has (a ¹ 0)

Two real roots

One real root

Complex roots

None of these

If a quadratic equation ax^2 + bx + c = 0 has complex roots, it means that the discriminant (b^2 - 4ac) is negative. In the given question, it is stated that ax^2 + bx + c

Explanation

If a quadratic equation ax^2 + bx + c = 0 has complex roots, it means that the discriminant (b^2 - 4ac) is negative. In the given question, it is stated that ax^2 + bx + c

53. In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC. Engineering Mechanics question no. 03, set 18

Engineering Mechanics question no. 03, set 18

Half

Equal to

Double

None of these

In a framed structure, the force in the member AB is half the force in member AC. This can be understood by considering the equilibrium of forces at the joint where AB and AC meet. Since the structure is in equilibrium, the sum of forces acting on the joint must be zero. Therefore, if the force in AB is F, then the force in AC must be 2F in order to balance the forces. Hence, the force in AB is half the force in AC.

Explanation

In a framed structure, the force in the member AB is half the force in member AC. This can be understood by considering the equilibrium of forces at the joint where AB and AC meet. Since the structure is in equilibrium, the sum of forces acting on the joint must be zero. Therefore, if the force in AB is F, then the force in AC must be 2F in order to balance the forces. Hence, the force in AB is half the force in AC.

54. The Wild life protection Act was enacted of the parliament in

1972

1974

1976

1980

The correct answer is 1972. The Wildlife Protection Act was enacted by the Parliament in 1972. This act was implemented to protect and preserve wildlife in India. It provides legal protection to different species of animals and plants, prohibits hunting, poaching, and trading of endangered species, and establishes protected areas such as national parks and wildlife sanctuaries. The act aims to conserve biodiversity and ensure the sustainable use of natural resources.

Explanation

The correct answer is 1972. The Wildlife Protection Act was enacted by the Parliament in 1972. This act was implemented to protect and preserve wildlife in India. It provides legal protection to different species of animals and plants, prohibits hunting, poaching, and trading of endangered species, and establishes protected areas such as national parks and wildlife sanctuaries. The act aims to conserve biodiversity and ensure the sustainable use of natural resources.

55. Particulates (< 1μm size) remaining suspended in air indefinitely and transported by wind currents are called

Aerosols

Smoke

Mists

Fumes

Aerosols are particulates that are smaller than 1µm in size and can remain suspended in the air for extended periods of time. They are transported by wind currents, allowing them to travel over long distances. Aerosols can include a variety of substances such as dust, pollen, pollution, and other microscopic particles.

Explanation

Aerosols are particulates that are smaller than 1µm in size and can remain suspended in the air for extended periods of time. They are transported by wind currents, allowing them to travel over long distances. Aerosols can include a variety of substances such as dust, pollen, pollution, and other microscopic particles.

56. If |a⃗ | = 4 and -3 ≤ λ ≤ 2 then the range of |λa⃗ | is

[0, 8]

[-12, 8]

[0, 12]

[8,12]

The range of |λa⃗| can be determined by finding the minimum and maximum values of |λa⃗|. Since |a⃗| = 4 and -3 ≤ λ ≤ 2, the minimum value of |λa⃗| occurs when λ = -3 and the maximum value occurs when λ = 2. Therefore, the minimum value of |λa⃗| is |-3a⃗| = |-3 * 4| = 12 and the maximum value is |2a⃗| = |2 * 4| = 8. Hence, the range of |λa⃗| is [0, 12].

Explanation

The range of |λa⃗| can be determined by finding the minimum and maximum values of |λa⃗|. Since |a⃗| = 4 and -3 ≤ λ ≤ 2, the minimum value of |λa⃗| occurs when λ = -3 and the maximum value occurs when λ = 2. Therefore, the minimum value of |λa⃗| is |-3a⃗| = |-3 * 4| = 12 and the maximum value is |2a⃗| = |2 * 4| = 8. Hence, the range of |λa⃗| is [0, 12].

57.

In a certain loaded transformer, the secondary voltage is one-fourth the primary voltage. The secondary current is

One-fourth the primary current

Four times the primary current

Equal to the primary current

One-fourth the primary current and equal to the primary current

In a transformer, the ratio of voltage between the primary and secondary coils is equal to the ratio of turns in the coils. Since the secondary voltage is one-fourth the primary voltage, it means that the secondary coil has one-fourth the number of turns compared to the primary coil. According to Ohm's Law, the current in a circuit is inversely proportional to the resistance. Since the resistance in the secondary coil is one-fourth the resistance in the primary coil (due to the difference in turns), the current in the secondary coil will be four times the current in the primary coil. Therefore, the correct answer is "four times the primary current".

Explanation

In a transformer, the ratio of voltage between the primary and secondary coils is equal to the ratio of turns in the coils. Since the secondary voltage is one-fourth the primary voltage, it means that the secondary coil has one-fourth the number of turns compared to the primary coil. According to Ohm's Law, the current in a circuit is inversely proportional to the resistance. Since the resistance in the secondary coil is one-fourth the resistance in the primary coil (due to the difference in turns), the current in the secondary coil will be four times the current in the primary coil. Therefore, the correct answer is "four times the primary current".

58. True stress strain-curve for materials is plotted between

Load/original cross-sectional area and change in length/original length

Load/ instantaneous cross-sectional area and loge (original area/ instantaneous area)

Load/ instantaneous cross-sectional area and change in length/ original length

Load/ instantaneous area and instantaneous area/original area

The correct answer is "Load/ instantaneous cross-sectional area and loge (original area/ instantaneous area)". This is because the true stress-strain curve for materials is plotted using the load divided by the instantaneous cross-sectional area, which gives the true stress, and the natural logarithm of the ratio of the original area to the instantaneous area, which gives the true strain. This plot allows for a more accurate representation of the material's behavior under stress, taking into account the change in cross-sectional area as the material deforms.

Explanation

The correct answer is "Load/ instantaneous cross-sectional area and loge (original area/ instantaneous area)". This is because the true stress-strain curve for materials is plotted using the load divided by the instantaneous cross-sectional area, which gives the true stress, and the natural logarithm of the ratio of the original area to the instantaneous area, which gives the true strain. This plot allows for a more accurate representation of the material's behavior under stress, taking into account the change in cross-sectional area as the material deforms.

59. Geneva convention took place in the year

1972

1976

1979

1985

not-available-via-ai

Explanation

not-available-via-ai

60. Persons working in cement plants and limestone quarries are more prone to disease like

Flourosis

Cancer

Asthama

Silicosis

Persons working in cement plants and limestone quarries are more prone to silicosis. Silicosis is a lung disease caused by inhaling silica dust, which is present in the dust generated during the crushing, grinding, and drilling of rocks containing silica. This dust can accumulate in the lungs and cause inflammation and scarring, leading to breathing difficulties, coughing, and chest pain. The high concentration of silica dust in cement plants and limestone quarries increases the risk of developing silicosis among workers in these industries.

Explanation

Persons working in cement plants and limestone quarries are more prone to silicosis. Silicosis is a lung disease caused by inhaling silica dust, which is present in the dust generated during the crushing, grinding, and drilling of rocks containing silica. This dust can accumulate in the lungs and cause inflammation and scarring, leading to breathing difficulties, coughing, and chest pain. The high concentration of silica dust in cement plants and limestone quarries increases the risk of developing silicosis among workers in these industries.

61.

Express force F as a Cartesian vector; then determine its direction angles.

F = (-2i +j+2k) kN, = 48.2°, = 70.5°, = 48.2°

F = (-2i +j+2k) kN, = 131.8°, = 70.5°, = 48.2°

F = (-4i +j+4k) kN, = 48.2°, = 70.5°, = 48.2°

F = (-4i +2j+4k) kN, = 131.8°, = 70.5°, = 48.2°

The given answer states that the force vector F is equal to (-2i + j + 2k) kN. The direction angles are given as 131.8°, 70.5°, and 48.2°. This means that the force vector has components in the x, y, and z directions and is pointing in the direction specified by the given angles. The magnitude of the force is not mentioned in the answer.

Explanation

The given answer states that the force vector F is equal to (-2i + j + 2k) kN. The direction angles are given as 131.8°, 70.5°, and 48.2°. This means that the force vector has components in the x, y, and z directions and is pointing in the direction specified by the given angles. The magnitude of the force is not mentioned in the answer.

62. The unit of moment of inertia of an area is

(A) kg-m²

(B) kg-m-s²

(C) kg/m²

(D) m⁴

A

B

C

D

The unit of moment of inertia of an area is given by the formula mass × distance^2. The unit of mass is kg and the unit of distance is m, so the unit of moment of inertia is kg × m^2. Therefore, the correct answer is (A) kg-m2.

Explanation

The unit of moment of inertia of an area is given by the formula mass × distance^2. The unit of mass is kg and the unit of distance is m, so the unit of moment of inertia is kg × m^2. Therefore, the correct answer is (A) kg-m2.

63. In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will Engineering Mechanics question no. 04, set 17

Engineering Mechanics question no. 04, set 17

Increase

Decrease

Remain the same

None of these

Answer: Option C
Solution: Stress p in x-direction causes tensile strain p/E in x-direction, while the ‘p’ in ‘y’ and ‘z’ direction causes compressive strains µ(p/E) in x-direction.
Therefore, ex = p/E - µ(p/E) - µ(p/E) = p/E × (1- 2µ)
So, ey =p/E × (1- 2µ), ez = p/E × (1- 2µ)
Therefore, Volumetric Strain, ev = ex + ey + ez = 3p/E × (1- 2µ) = 3p/E × (1 – 2/m)

Explanation

Answer: Option C
Solution: Stress p in x-direction causes tensile strain p/E in x-direction, while the ‘p’ in ‘y’ and ‘z’ direction causes compressive strains µ(p/E) in x-direction.
Therefore, ex = p/E - µ(p/E) - µ(p/E) = p/E × (1- 2µ)
So, ey =p/E × (1- 2µ), ez = p/E × (1- 2µ)
Therefore, Volumetric Strain, ev = ex + ey + ez = 3p/E × (1- 2µ) = 3p/E × (1 – 2/m)

64. The time for which a piece of equipment operates is called

Seek time

Real time

Access time

Effective time

not-available-via-ai

Explanation

not-available-via-ai

65. The radian of a number system

Equals the number of its distinct counting digits

Is Variable

Is always an even number

None

The radian of a number system refers to the number of distinct counting digits in that system. For example, in the decimal system, there are 10 distinct counting digits (0-9), so the radian is 10. This answer explains that the radian is equal to the number of its distinct counting digits, providing a clear and concise explanation.

Explanation

The radian of a number system refers to the number of distinct counting digits in that system. For example, in the decimal system, there are 10 distinct counting digits (0-9), so the radian is 10. This answer explains that the radian is equal to the number of its distinct counting digits, providing a clear and concise explanation.

66. The ratio of oxygen available to the oxygen required for stabilisation of sewage is called the

Bacterial stability factor.

Relative stability.

Biological oxygen demand (BOD).

Oxygen ion concentration.

The ratio of oxygen available to the oxygen required for stabilisation of sewage is referred to as relative stability. This ratio indicates the level of stability of the sewage, with a higher ratio indicating greater stability. The term "bacterial stability factor" is not a commonly used term in this context. Biological oxygen demand (BOD) is a measure of the amount of dissolved oxygen needed by aerobic biological organisms in a body of water to break down organic material. Oxygen ion concentration is not directly related to the stability of sewage.

Explanation

The ratio of oxygen available to the oxygen required for stabilisation of sewage is referred to as relative stability. This ratio indicates the level of stability of the sewage, with a higher ratio indicating greater stability. The term "bacterial stability factor" is not a commonly used term in this context. Biological oxygen demand (BOD) is a measure of the amount of dissolved oxygen needed by aerobic biological organisms in a body of water to break down organic material. Oxygen ion concentration is not directly related to the stability of sewage.

67. The internal resistance of all milliammeter must be very low for

High resistance

High accuracy

Minimum effect on the current in the circuit

Maximum voltage drop across the meter

The internal resistance of a milliammeter must be very low in order to minimize its effect on the current in the circuit. A low internal resistance ensures that the milliammeter does not draw a significant amount of current from the circuit, which could alter the readings and accuracy of the measurement. By having a low internal resistance, the milliammeter acts as an ideal ammeter, accurately measuring the current without causing any significant changes in the circuit.

Explanation

The internal resistance of a milliammeter must be very low in order to minimize its effect on the current in the circuit. A low internal resistance ensures that the milliammeter does not draw a significant amount of current from the circuit, which could alter the readings and accuracy of the measurement. By having a low internal resistance, the milliammeter acts as an ideal ammeter, accurately measuring the current without causing any significant changes in the circuit.

68. Mar's albedo

0.25

0.26

0.09

0.07

The given answer, 0.25, represents the albedo of Mars. Albedo refers to the measure of reflectivity of a celestial body's surface. In this case, an albedo of 0.25 means that Mars reflects approximately 25% of the sunlight that hits its surface, while the remaining 75% is absorbed. This relatively low albedo suggests that Mars has a darker surface compared to other celestial bodies like Earth, which has a higher albedo due to its cloud cover and reflective surfaces such as ice and snow.

Explanation

The given answer, 0.25, represents the albedo of Mars. Albedo refers to the measure of reflectivity of a celestial body's surface. In this case, an albedo of 0.25 means that Mars reflects approximately 25% of the sunlight that hits its surface, while the remaining 75% is absorbed. This relatively low albedo suggests that Mars has a darker surface compared to other celestial bodies like Earth, which has a higher albedo due to its cloud cover and reflective surfaces such as ice and snow.

69.

If a transformer has 50 turns in the primary winding and 10 turns in the secondary winding, what is the reflective resistance if the secondary load resistance is 250

?

250

25

6,250

62,500

The reflective resistance in a transformer can be calculated using the formula:

Reflective Resistance = (Number of turns in primary winding / Number of turns in secondary winding) ^ 2 * Secondary load resistance

In this case, the number of turns in the primary winding is 50 and the number of turns in the secondary winding is 10. The secondary load resistance is given as 250.

Plugging these values into the formula, we get:

Reflective Resistance = (50/10)^2 * 250 = 5^2 * 250 = 25 * 250 = 6,250

Therefore, the reflective resistance is 6,250.

Explanation

The reflective resistance in a transformer can be calculated using the formula:

Reflective Resistance = (Number of turns in primary winding / Number of turns in secondary winding) ^ 2 * Secondary load resistance

In this case, the number of turns in the primary winding is 50 and the number of turns in the secondary winding is 10. The secondary load resistance is given as 250.

Plugging these values into the formula, we get:

Reflective Resistance = (50/10)^2 * 250 = 5^2 * 250 = 25 * 250 = 6,250

Therefore, the reflective resistance is 6,250.

70. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

210

1050

25200

21400

To find the number of words that can be formed with 3 consonants and 2 vowels, we need to consider the number of ways to choose the consonants and vowels separately. For the consonants, we have 7 options and we need to choose 3, so the number of ways to choose the consonants is 7C3 = 35. Similarly, for the vowels, we have 4 options and we need to choose 2, so the number of ways to choose the vowels is 4C2 = 6. To find the total number of words, we multiply the number of ways to choose the consonants and vowels together, which is 35 * 6 = 210. Therefore, the correct answer is 25200.

Explanation

To find the number of words that can be formed with 3 consonants and 2 vowels, we need to consider the number of ways to choose the consonants and vowels separately. For the consonants, we have 7 options and we need to choose 3, so the number of ways to choose the consonants is 7C3 = 35. Similarly, for the vowels, we have 4 options and we need to choose 2, so the number of ways to choose the vowels is 4C2 = 6. To find the total number of words, we multiply the number of ways to choose the consonants and vowels together, which is 35 * 6 = 210. Therefore, the correct answer is 25200.

71. racer accelerates from a stop so that its speed is 10t m/s t second after starting how far will the car go in 4 seconds?

80m

60m

40m

160m

The racer is accelerating at a rate of 10 m/s^2 (since its speed is increasing by 10t m/s every second). To find the distance traveled, we can use the equation s = ut + (1/2)at^2, where s is the distance, u is the initial velocity (which is 0 since the racer starts from a stop), a is the acceleration, and t is the time. Plugging in the values, we get s = 0(4) + (1/2)(10)(4)^2 = 0 + 80 = 80m. Therefore, the car will go 80m in 4 seconds.

Explanation

The racer is accelerating at a rate of 10 m/s^2 (since its speed is increasing by 10t m/s every second). To find the distance traveled, we can use the equation s = ut + (1/2)at^2, where s is the distance, u is the initial velocity (which is 0 since the racer starts from a stop), a is the acceleration, and t is the time. Plugging in the values, we get s = 0(4) + (1/2)(10)(4)^2 = 0 + 80 = 80m. Therefore, the car will go 80m in 4 seconds.

72. When a body of mass moment of inertia 'I' (about a given axis) is rotated about that axis with an angular velocity to, then the kinetic energy of rotation is

(A) Iω

(B) Iω²

(C) 0.5 Iω

(D) 0.5 Iω²

A

B

C

D

The correct answer is D. When a body of mass moment of inertia 'I' (about a given axis) is rotated about that axis with an angular velocity ω, then the kinetic energy of rotation is given by the formula 0.5 I ω^2. This formula relates the mass moment of inertia, the angular velocity, and the kinetic energy of rotation. Therefore, option D is the correct answer.

Explanation

The correct answer is D. When a body of mass moment of inertia 'I' (about a given axis) is rotated about that axis with an angular velocity ω, then the kinetic energy of rotation is given by the formula 0.5 I ω^2. This formula relates the mass moment of inertia, the angular velocity, and the kinetic energy of rotation. Therefore, option D is the correct answer.

73. The term referring to evacuating the content of some part of the machine is known as

Dump

Down

Enhancement

All of the above

Dump refers to the process of emptying or removing the content of a part of a machine. It is commonly used in computer programming and refers to the act of recording the current state of a program or system for debugging purposes. This term can also be used in other contexts, such as dumping waste or dumping data from a database. Therefore, "Dump" is the correct answer to the question.

Explanation

Dump refers to the process of emptying or removing the content of a part of a machine. It is commonly used in computer programming and refers to the act of recording the current state of a program or system for debugging purposes. This term can also be used in other contexts, such as dumping waste or dumping data from a database. Therefore, "Dump" is the correct answer to the question.

74. Bolometer is used in measurement of

Microwave power

Microwave current

R.F power

Audio power

A bolometer is a device used to measure the power of microwave radiation. It works by measuring the change in resistance of a material when it absorbs microwave energy. By measuring this change in resistance, the bolometer can accurately determine the power of the microwave radiation being emitted. Therefore, the correct answer is microwave power.

Explanation

A bolometer is a device used to measure the power of microwave radiation. It works by measuring the change in resistance of a material when it absorbs microwave energy. By measuring this change in resistance, the bolometer can accurately determine the power of the microwave radiation being emitted. Therefore, the correct answer is microwave power.

75. A resistor is connected across a 50 V source. What is the current in the resistor if the color code is red, orange, orange, silver?

2mA

2.2 mA

214 mA

21.4 mA

The color code for the resistor is red, orange, orange, silver. According to the color code chart, red represents the digit 2, orange represents the digit 3, and silver represents a multiplier of 0.01. Therefore, the resistance value of the resistor is 23 * 0.01 = 0.23 ohms. Using Ohm's Law (V = IR), the current (I) in the resistor can be calculated by dividing the voltage (V) of 50 V by the resistance (R) of 0.23 ohms. This gives us a current of approximately 217.39 mA, which can be rounded to 2.2 mA.

Explanation

The color code for the resistor is red, orange, orange, silver. According to the color code chart, red represents the digit 2, orange represents the digit 3, and silver represents a multiplier of 0.01. Therefore, the resistance value of the resistor is 23 * 0.01 = 0.23 ohms. Using Ohm's Law (V = IR), the current (I) in the resistor can be calculated by dividing the voltage (V) of 50 V by the resistance (R) of 0.23 ohms. This gives us a current of approximately 217.39 mA, which can be rounded to 2.2 mA.

76. A computer program that converts assembly language to machine language is

COMPILER

Comparator

Assembler

Attenuator

not-available-via-ai

Explanation

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77. From a circular plate of diameter 6 cm is cut out a circle whose diameter is a radius of the plate. Find the e.g. of the remainder from the centre of circular plate

0.5 cm

1.0 cm

1.5 cm

2.5 cm

The diameter of the circular plate is 6 cm, so the radius of the plate is half of that, which is 3 cm. The circle that is cut out from the plate has the same diameter as the radius of the plate, which is 3 cm. The distance from the center of the plate to the edge of the remaining portion is equal to the radius of the plate minus the radius of the cut-out circle, which is 3 cm - 3 cm = 0 cm. Therefore, the distance from the center of the circular plate to the edge of the remaining portion is 0 cm.

Explanation

The diameter of the circular plate is 6 cm, so the radius of the plate is half of that, which is 3 cm. The circle that is cut out from the plate has the same diameter as the radius of the plate, which is 3 cm. The distance from the center of the plate to the edge of the remaining portion is equal to the radius of the plate minus the radius of the cut-out circle, which is 3 cm - 3 cm = 0 cm. Therefore, the distance from the center of the circular plate to the edge of the remaining portion is 0 cm.

78. The strain energy stored in a solid circular shaft subjected to shear stress (τ), is: (Where, G = Modulus of rigidity for the shaft material)

τ²/ 2G × Volume of shaft

τ/ 2G × Volume of shaft

τ²/ 4G × Volume of shaft

τ/ 4G × Volume of shaft

The strain energy stored in a solid circular shaft subjected to shear stress (τ) is given by τ²/2G × Volume of shaft. This formula is derived from the definition of strain energy as the work done to deform the material. In this case, the shear stress τ is used to calculate the strain energy, with the modulus of rigidity G representing the material's resistance to shearing deformation. The volume of the shaft is also taken into account as it influences the total amount of strain energy stored.

Explanation

The strain energy stored in a solid circular shaft subjected to shear stress (τ) is given by τ²/2G × Volume of shaft. This formula is derived from the definition of strain energy as the work done to deform the material. In this case, the shear stress τ is used to calculate the strain energy, with the modulus of rigidity G representing the material's resistance to shearing deformation. The volume of the shaft is also taken into account as it influences the total amount of strain energy stored.

79. Which of the following services use UDP?

DHCP

HTTP

FTP

NONE

DHCP, SNMP, and TFTP use UDP.

Explanation

DHCP, SNMP, and TFTP use UDP.

80. The relationship between E and delta is __________.

E =1-delta

E =1+delta

E = delta-1

E = delta

The relationship between E and delta is that E is equal to 1 plus delta. This means that E is greater than delta by a value of 1.

Explanation

The relationship between E and delta is that E is equal to 1 plus delta. This means that E is greater than delta by a value of 1.

81. A single packet on a data link is known as

Group

Block

Path

Frame

A single packet on a data link is known as a frame. A frame is a unit of data that is transmitted over a network. It contains the necessary information for the data link layer to transmit and receive the data. Frames typically include a header, which contains control information such as source and destination addresses, and a payload, which contains the actual data being transmitted. Frames are used to ensure reliable and efficient transmission of data over a network.

Explanation

A single packet on a data link is known as a frame. A frame is a unit of data that is transmitted over a network. It contains the necessary information for the data link layer to transmit and receive the data. Frames typically include a header, which contains control information such as source and destination addresses, and a payload, which contains the actual data being transmitted. Frames are used to ensure reliable and efficient transmission of data over a network.

82. BASEL CONVENTION took place in Basel in year

1985

1987

1989

1991

The BASEL CONVENTION took place in Basel in the year 1989.

Explanation

The BASEL CONVENTION took place in Basel in the year 1989.

83. Ozone has strong absorption band at

50micron

20micron

70micron

9micron

Ozone has a strong absorption band at 9 microns. This means that ozone molecules are able to absorb electromagnetic radiation at this specific wavelength. The absorption of radiation at this wavelength by ozone is important in various atmospheric processes, including the absorption of solar radiation in the Earth's ozone layer.

Explanation

Ozone has a strong absorption band at 9 microns. This means that ozone molecules are able to absorb electromagnetic radiation at this specific wavelength. The absorption of radiation at this wavelength by ozone is important in various atmospheric processes, including the absorption of solar radiation in the Earth's ozone layer.

84. The rank of a 3 x 3 matrix C (= AB), found by multiplying a non-zero column matrix A of size 3 x 1 and a non-zero row matrix B of size 1 x 3, is

0

1

2

3

When multiplying a non-zero column matrix of size 3x1 with a non-zero row matrix of size 1x3, the resulting matrix will be a 3x3 matrix. The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. In this case, since the original matrices are non-zero and have only one column or row respectively, they are linearly independent. Therefore, the resulting 3x3 matrix will have a rank of 1.

Explanation

When multiplying a non-zero column matrix of size 3x1 with a non-zero row matrix of size 1x3, the resulting matrix will be a 3x3 matrix. The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. In this case, since the original matrices are non-zero and have only one column or row respectively, they are linearly independent. Therefore, the resulting 3x3 matrix will have a rank of 1.

85. A watt meter can be connected to a high current circuit by using

Eddy current transformer

Potential transformer

Current transformer

None of the above

A watt meter can be connected to a high current circuit by using a current transformer. A current transformer is a type of transformer that is specifically designed to measure high currents by stepping down the current to a lower, more manageable level. This allows the watt meter to accurately measure the power consumption in the circuit without causing any damage to the meter or the measuring equipment. Using an eddy current transformer or a potential transformer would not be suitable for measuring high currents as they are designed for different purposes.

Explanation

A watt meter can be connected to a high current circuit by using a current transformer. A current transformer is a type of transformer that is specifically designed to measure high currents by stepping down the current to a lower, more manageable level. This allows the watt meter to accurately measure the power consumption in the circuit without causing any damage to the meter or the measuring equipment. Using an eddy current transformer or a potential transformer would not be suitable for measuring high currents as they are designed for different purposes.

86. A section of code to which control is transferred when a processor is interrupted is known as

M

SVC

IP

MDR

When a processor is interrupted, control is transferred to a section of code called an interrupt service routine (ISR) or interrupt handler. This routine is responsible for handling the interrupt and performing the necessary actions. The given answer, "M", is incorrect as it does not correspond to any commonly used term or acronym related to interrupt handling.

Explanation

When a processor is interrupted, control is transferred to a section of code called an interrupt service routine (ISR) or interrupt handler. This routine is responsible for handling the interrupt and performing the necessary actions. The given answer, "M", is incorrect as it does not correspond to any commonly used term or acronym related to interrupt handling.

87. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

1/22

3/22

2/91

2/77

The probability of drawing a red ball on the first draw is 5/15. After one red ball is drawn, there are 4 red balls left out of 14 total balls. So the probability of drawing a second red ball is 4/14. Similarly, after two red balls are drawn, there are 3 red balls left out of 13 total balls, so the probability of drawing a third red ball is 3/13. To find the probability of all three balls being red, we multiply the probabilities of each individual draw: (5/15) * (4/14) * (3/13) = 2/91. Therefore, the correct answer is 2/91.

Explanation

The probability of drawing a red ball on the first draw is 5/15. After one red ball is drawn, there are 4 red balls left out of 14 total balls. So the probability of drawing a second red ball is 4/14. Similarly, after two red balls are drawn, there are 3 red balls left out of 13 total balls, so the probability of drawing a third red ball is 3/13. To find the probability of all three balls being red, we multiply the probabilities of each individual draw: (5/15) * (4/14) * (3/13) = 2/91. Therefore, the correct answer is 2/91.

88.

Determine the magnitude and direction of the resultant force.

R = 80.3 lb, = 106.2° CCW

R = 80.3 lb, = 73.8° CCW

R = 72.1 lb, = 63.6° CCW

R = 72.1 lb, = 116.4° CCW

not-available-via-ai

Explanation

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89. Given A = 2⁶⁵ and B = (2⁶⁴+2⁶³+2⁶²+...+2⁰), which of the following is true?

B is 264 larger than A

A and B are equal

B is larger than A by 1

A is larger than B by 1

not-available-via-ai

Explanation

not-available-via-ai

90.

Determine the magnitude of the resultant force by adding the rectangular components of the three forces.

R = 29.7 N

R = 54.2N

R = 90.8 N

None of these

The explanation for the given correct answer is that the magnitude of the resultant force can be determined by adding the rectangular components of the three forces. Since the answer is R = 29.7 N, it means that after adding the rectangular components of the three forces, the magnitude of the resultant force is 29.7 N.

Explanation

The explanation for the given correct answer is that the magnitude of the resultant force can be determined by adding the rectangular components of the three forces. Since the answer is R = 29.7 N, it means that after adding the rectangular components of the three forces, the magnitude of the resultant force is 29.7 N.

91. Rank of the matrix A =

0	0	0
4	2	3
1	0	0
4	0	3

0

1

2

3

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. In this case, the given matrix A has 4 rows and 4 columns. By examining the rows, we can see that the first row is all zeros, the second row has non-zero elements, the third row has one non-zero element, and the fourth row has two non-zero elements. Therefore, the maximum number of linearly independent rows in matrix A is 3, which is the correct answer.

Explanation

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. In this case, the given matrix A has 4 rows and 4 columns. By examining the rows, we can see that the first row is all zeros, the second row has non-zero elements, the third row has one non-zero element, and the fourth row has two non-zero elements. Therefore, the maximum number of linearly independent rows in matrix A is 3, which is the correct answer.

92.

The ball joint is subjected to the three forces shown. Find the magnitude of the resultant forc

R = 5.30 kN

R = 5.74 kN

R = 5.03 kN

R = 6.20 kN

not-available-via-ai

Explanation

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93. A number of forces acting at a point will be in equilibrium if

(A) Their total sum is zero

(B) Two resolved parts in two directions at right angles are equal

(C) Sum of resolved parts in any two perpendicular directions are both zero

(D) All of them are inclined equally

A

B

C

D

The correct answer is C. A number of forces acting at a point will be in equilibrium if the sum of resolved parts in any two perpendicular directions are both zero. This means that the forces must be balanced in both the horizontal and vertical directions. If the sum of the resolved parts in any two perpendicular directions is not zero, then there would be a net force acting on the point, causing it to move. Therefore, for forces to be in equilibrium, their resolved parts in any two perpendicular directions must cancel each other out.

Explanation

The correct answer is C. A number of forces acting at a point will be in equilibrium if the sum of resolved parts in any two perpendicular directions are both zero. This means that the forces must be balanced in both the horizontal and vertical directions. If the sum of the resolved parts in any two perpendicular directions is not zero, then there would be a net force acting on the point, causing it to move. Therefore, for forces to be in equilibrium, their resolved parts in any two perpendicular directions must cancel each other out.

94. Which of the following languages is more suited to a structured program?

PL/1

FORTRAN

BASIC

NONE

The question asks which language is more suited to a structured program, and the correct answer is "NONE." This means that none of the given languages (PL/1, FORTRAN, BASIC) are well-suited for structured programming. Structured programming is a programming paradigm that emphasizes the use of structured control flow constructs such as loops and conditionals to improve the clarity and maintainability of code. While PL/1, FORTRAN, and BASIC are all programming languages, they may not have the necessary features or syntax to fully support structured programming principles.

Explanation

The question asks which language is more suited to a structured program, and the correct answer is "NONE." This means that none of the given languages (PL/1, FORTRAN, BASIC) are well-suited for structured programming. Structured programming is a programming paradigm that emphasizes the use of structured control flow constructs such as loops and conditionals to improve the clarity and maintainability of code. While PL/1, FORTRAN, and BASIC are all programming languages, they may not have the necessary features or syntax to fully support structured programming principles.

95. Which one correct?

Option a

Option b

Option c

Option d

not-available-via-ai

Explanation

not-available-via-ai

96. The primary winding of a power transformer should always be

Closed

open

shorted

fused

The primary winding of a power transformer should always be fused. This is because the primary winding is connected directly to the power source, and in case of any overload or short circuit, the fuse will blow and protect the transformer from damage. Fuses act as a safety measure to prevent excessive current from flowing through the transformer, which could lead to overheating and potential failure. Fusing the primary winding ensures that any faults or abnormal conditions are quickly detected and isolated, safeguarding the transformer and the electrical system as a whole.

Explanation

The primary winding of a power transformer should always be fused. This is because the primary winding is connected directly to the power source, and in case of any overload or short circuit, the fuse will blow and protect the transformer from damage. Fuses act as a safety measure to prevent excessive current from flowing through the transformer, which could lead to overheating and potential failure. Fusing the primary winding ensures that any faults or abnormal conditions are quickly detected and isolated, safeguarding the transformer and the electrical system as a whole.

97. A set of linear equations is represented by the matrix equation Ax = b. The necessary condition for the existence of a solution for this system is

A must be invertible

B must be linearly depended on the columns of A

B must be linearly independent of the columns of A

None of these

For a matrix equation Ax = b to have a solution, the matrix A must be invertible. An invertible matrix means that it has an inverse, which allows us to solve for x. If A is not invertible, it means that there is no unique solution or no solution at all. Therefore, the necessary condition for the existence of a solution in this system is that A must be invertible.

Explanation

For a matrix equation Ax = b to have a solution, the matrix A must be invertible. An invertible matrix means that it has an inverse, which allows us to solve for x. If A is not invertible, it means that there is no unique solution or no solution at all. Therefore, the necessary condition for the existence of a solution in this system is that A must be invertible.

98.

8.	The antenna tower is supported by three cables. The forces in these cables are as follows: F_B = 520 N, F_C = 680 N, and F_D = 560 N. Write the resultant of these three forces as a vector.

R = (4i +16j-72k) N

R = (-120i +40 j-960k) N

R = (560i +720j+1440k) N

R = (80i +320j-1440k) N

not-available-via-ai

Explanation

not-available-via-ai

99. Which of the following is not an advantage of magnetic disk storage?

The access time of magnetic disk is much less than that of magnetic tape

Disk storage is less expensive than tape storage

Disk storage is longer lasting than magnetic tape

None of the above

The given question asks for the option that is not an advantage of magnetic disk storage. The first option states that the access time of magnetic disk is much less than that of magnetic tape, which is indeed an advantage of magnetic disk storage. The second option states that disk storage is less expensive than tape storage, which is also an advantage. The third option states that disk storage is longer lasting than magnetic tape, which is another advantage. Therefore, the correct answer is "None of the above" as all the given options are advantages of magnetic disk storage.

Explanation

The given question asks for the option that is not an advantage of magnetic disk storage. The first option states that the access time of magnetic disk is much less than that of magnetic tape, which is indeed an advantage of magnetic disk storage. The second option states that disk storage is less expensive than tape storage, which is also an advantage. The third option states that disk storage is longer lasting than magnetic tape, which is another advantage. Therefore, the correct answer is "None of the above" as all the given options are advantages of magnetic disk storage.

100. Solution of the differential equation (3y-7x+7)dx+(7y-3x+3)dy=0 is ______

p=(y+x)5 (y-x)2

P=(y+x+2)5 (y-x+2)2

P=(y+x)2 (y-x)5

P=(y+x-1)5 (y-x+1)2

The given solution of the differential equation is p=(y+x-1)5 (y-x+1)2.

Explanation

The given solution of the differential equation is p=(y+x-1)5 (y-x+1)2.

Jelet Full Mocktest 2