# JEE Main: Units, Dimensions And Error Analysis Quiz!

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| By Tanmay Shankar
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Tanmay Shankar
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Quizzes Created: 491 | Total Attempts: 1,797,843
Questions: 10 | Attempts: 1,085

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• 1.

• A.

1.74

• B.

0.72

• C.

2.31

• D.

3.63

C. 2.31
• 2.

C.
• 3.

### The weight of a body in the air is W1=12 ± 0.04 N and the weight of the body in water is W2=10 ± 0.03 N. What will be the relative density with the maximum permissible error?

• A.

6.00 Â± 0.031%

• B.

6.00 Â± 0.069%

• C.

6.00 Â± 3.12%

• D.

6.00 Â± 6. 9%

D. 6.00 Â± 6. 9%
• 4.

• A.

0.36

• B.

0.73

• C.

0.18

• D.

0.56

B. 0.73
• 5.

• A.

0.2 %

• B.

0.3 %

• C.

0.4 %

• D.

0.5 %

D. 0.5 %
• 6.

• A.

20%

• B.

10%

• C.

5%

• D.

6%

A. 20%
• 7.

### There were printing errors in a paper that contains the four different formulas for the displacement ‘y’ of a particle undergoing a certain periodic motion. Which of the following can be correct?

• A.

Y = a sin 2π t/T

• B.

Y = a sin vt

• C.

Y = (a/T) sin t/a

• D.

Y = (a2) (sin 2πt / T + cos 2πt / T)

A. Y = a sin 2π t/T
Explanation
Among the all options only option is dimensionally correct and that’s why ‘a’ will be the correct option.

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• 8.

### The kinetic energy K of a rotating body depends on its moment of inertia I and its angular speed ω. Considering the relation to be K = kIaωb where k is a dimensionless constant. What will be the value of ‘a’ and ‘b’.

• A.

A = 2, b = 1

• B.

A = 1, b = 1

• C.

A = 1, b = 2

• D.

A = -1, b = 1

C. A = 1, b = 2
• 9.

### The velocity of an object varies with time and as expressed in the equation: v =Xt2 + Yt + Z. If units of v and t are expressed in terms of SI units, which of the following options correctly specifies the units of X, Y, and Z?

C.
Explanation
For the equation v = Xt2+Yt+Z the units of the right-hand side should be equal to the units of left-hand side. Each and every term is added with each other so all the terms must have the units equal to units of velocity (i.e. m s-1). So now, unit of X = m s-3, Unit of Y = m s-2 and unit of Z = m s-1. Option ‘C’ is correct.

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• 10.

### A cube has sides of length 1.7 X 10-3 m. Calculate its volume.

• A.

4.913 X 10-9 m3

• B.

4.91 X 10-9 m3

• C.

4.90 X 10-9 m3

• D.

4.9 X 10-9 m3

D. 4.9 X 10-9 m3
Explanation
The volume of a cube = a3; where ‘a’ is the side of the cube
In the question a = 1.710-3; so the volume = (1.710-3)3 = 4.91310-9
but the side of the cube is given as 1.710-3 and we have to take care that the answer must be is in the same format as the side so the volume of the cube is = 4.91310-9

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• Current Version
• Mar 20, 2023
Quiz Edited by
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• Jul 31, 2014
Quiz Created by
Tanmay Shankar

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