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

10 Questions | Total Attempts: 188  Settings  • 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
• A.

Wavelength

• B.

Volume

• C.

Force

• D.

Acceleration

• 2.
The Equation of stationary wave is then which of the following is false:
• A.
• B.
• C.
• D.
• 3.
In the Equation   the dimensional formula for will be
• A.

MLT

• B.
• C.
• D.
• 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.
• B.
• C.
• D.
• 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:
• 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.
• 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.
• B.
• C.
• D.
• 10.
What will be the dimensions a b of according to the relation where E =  is Energy, x is displacement and t is time?
• A.
• B.
• C.
• D.
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