1. \[\mu_{0}\] and \[\epsilon_{0}\] denote the permeability and permittivity of free space, the dimensions of \[\mu_{0}\epsilon_{0}\] are

a) \[LT^{-1}\]

b) \[L^{-2}T^{2}\]

c) \[M^{-1}L^{-3}Q^{2}T^{2}\]

d) \[M^{-1}L^{-3}I^{2}T^{2}\]

Explanation:

2. The expression [\[ML^{2}T^{-2}\] ] represents

a) Pressure

b) Kinetic energy

c) Momentum

d) Power

Explanation: Kinetic energy

3. The dimensions of physical quantity X in the equation \[Force=\frac{X}{Density}\] is given by

a) \[M^{1}L^{4}T^{-2}\]

b) \[M^{2}L^{-2}T^{-1}\]

c) \[M^{2}L^{-2}T^{-2}\]

d) \[M^{1}L^{-2}T^{-1}\]

Explanation:

4. The dimensions of \[CV^{2}\] matches with the dimensions of

a) \[L^{2}I\]

b) \[L^{2}I^{2}\]

c) \[LI^{2}\]

d) \[\frac{1}{LI}\]

Explanation: Both are the formula of energy

5. The Martians use force (F) , acceleration (A) and time (T) as their fundamental physical quantities. The dimensions of length on Martians system are

a) \[FT^{2}\]

b) \[F^{-1}T^{2}\]

c) \[F^{-1}A^{2}T^{-1}\]

d) \[AT^{2}\]

Explanation:

6. The dimension of \[\frac{1}{\sqrt{\epsilon_{0}\mu_{0}}}\] is that of

a) Velocity

b) Time

c) Capacitance

d) Distance

Explanation:

7. An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle

a) \[MLT^{-2}\]

b) \[ML^{2}T^{-2}\]

c) \[MLT^{2}\]

d) L

Explanation: According to problem muscle × speed = power

8. The foundations of dimensional analysis were laid down by

a) Gallileo

b) Newton

c) Fourier

d) Joule

Explanation: Fourier

9. The dimensional formula of wave number is

a) \[M^{0}L^{0}T^{-1}\]

b) \[M^{0}L^{-1}T^{0}\]

c) \[M^{-1}L^{-1}T^{0}\]

d) \[M^{0}L^{0}T^{0}\]

Explanation:

10. The dimensions of stress are equal to

a) Force

b) Pressure

c) Work

d) \[\frac{1}{Pressure}\]

Explanation: [Pressure] =[stress] = [ML

^{-1}T

^{-2}]