JEE Main: Units, Dimensions And Error Analysis! Quiz
10 Questions
| Total Attempts: 188
(193).jpg "JEE Main: Units, Dimensions And Error Analysis! Quiz")
Questions and Answers
- 1.
![Suppose refractive index is given as,
where P and Q are constants and v is the speed of light and is the wavelength, then dimensions of Q are the same as that of - ProProfs]( "Suppose refractive index is given as,
where P and Q are constants and v is the speed of light and is the wavelength, then dimensions of Q are the same as that of")
Suppose refractive index is given as, where P and Q are constants and v is the speed of light and is the wavelength, then dimensions of Q are the same as that of- A.
Wavelength
- B.
Volume
- C.
Force
- D.
Acceleration
- 2.
![The Equation of stationary wave is then which of the following is false: - ProProfs]( "The Equation of stationary wave is then which of the following is false:")
The Equation of stationary wave is then which of the following is false:- A.
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- B.
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- C.
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- D.
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- 3.
![In the Equation the dimensional formula for will be - ProProfs]( "In the Equation the dimensional formula for will be")
In the Equation the dimensional formula for will be- A.
MLT
- B.
![]()
- C.
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- D.
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- 4.For any spring of spring constant k, the frequency of vibrations ‘f’ is given by the formula f = Xmakb, where X is a dimensionless constant. The value of ‘a’ and ‘b’ are, respectively:
- A.
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- B.
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- C.
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- D.
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- 5.What will be the dimensions of the mass, if C (velocity of light), g (acceleration due to gravity), and P (atmospheric pressure) are considered as the fundamental Quantities in the MKS system?
- A.
C/g
- B.
Pg
- C.
PCg
- D.
C/P
- 6.In Searle’s experiment to find Young’s modulus, the diameter of the wire is measured as d=0.050 cm, and the length of the wire is L = 100 cm. When a weight of 10.0 kg is placed, the extension in the wire was found to be 0.200 cm. The maximum permissible error (percentage) in Young’s modulus is:
- A.
6.5
- B.
4.3
- C.
5.8
- D.
4.9
- 7.
![A physical Quantity V depends on time as V = V0 (1+ e), where is a constant and t is time, then which of the following is true:
- ProProfs]( "A physical Quantity V depends on time as V = V0 (1+ e), where is a constant and t is time, then which of the following is true:")
A physical Quantity V depends on time as V = V0 (1+ e), where is a constant and t is time, then which of the following is true:- A.
α is a dimensionless constant
- B.
Has dimensions of T2
- C.
α has dimensions of V
- D.
Has dimensions of LT-2
- 8.
![The banking of roads is explained with the formula here v is the speed of the object, r is the radius of the curve formed and g is the gravitational acceleration. Choose the correct statement about this relation. - ProProfs]( "The banking of roads is explained with the formula here v is the speed of the object, r is the radius of the curve formed and g is the gravitational acceleration. Choose the correct statement about this relation.")
The banking of roads is explained with the formula here v is the speed of the object, r is the radius of the curve formed and g is the gravitational acceleration. Choose the correct statement about this relation.- A.
Above expression may be dimensionally correct but numerically it is wrong
- B.
Above expression is dimensionally as well as numerically correct
- C.
Above expression is dimensionally as well as numerically wrong
- D.
Above expression is dimensionally incorrect but numerically it is correct
- 9.The product of permittivity of free space and the permeability of free space has the dimensions equal to the:
- A.
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- B.
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- C.
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- D.
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- 10.
![What will be the dimensions a b of according to the relation where E = is Energy, x is displacement and t is time? - ProProfs]( "What will be the dimensions a b of according to the relation where E = is Energy, x is displacement and t is time?")
What will be the dimensions a b of according to the relation where E = is Energy, x is displacement and t is time?- A.
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- B.
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- C.
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- D.
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