## Units and Measurement Questions and Answers Part-16

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) $M^{0}L^{0}T^{0}$

d) $\frac{1}{Pressure}$