Dimensions of kinetic energy are 

(1) $M{L}^2{T}^{-2}$

(2) $M^{2}L{T}^{-1}$

(3) $M{L}^2{T}^{-1}$

(4) $M{L}^3{T}^{-1}$

Dimensional formula for torque is 

(1) $L^{2}M{T}^{-2}$

(2) $L^{-1}M{T}^{-2}$

(3) $L^{2}M{T}^{-3}$

(4) $LM{T}^{-2}$

Dimensions of coefficient of viscosity are 

(1) $M{L}^2{T}^{-2}$

(2) $M{L}^2{T}^{-1}$

(3) $M{L}^{-1}{T}^{-1}$

(4) MLT

The dimension of quantity (L/RCV) is 

(1) [A]

(2) [A²]

(3) $\left[A^{-1}\right]$

(4) None of these

The pair having the same dimensions is:

(1) Angular momentum, work

(2) Work, torque

(3) Potential energy, linear momentum

(4) Kinetic energy, velocity

In the following list, the only pair which have different dimensions, is 

(1) Linear momentum and moment of a force

(2) Planck's constant and angular momentum

(3) Pressure and modulus of elasticity

(4) Torque and potential energy

If velocity v, acceleration A and force F are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, A and F would be

(1) $F{A}^{-1}v$

(2) $F{v}^3{A}^{-2}$

(3) $F{v}^2{A}^{-1}$

(4) $F^2{v}^2{A}^{-1}$

Dimensions of the following three quantities are the same:

(1) Work, energy, force

(2) Velocity, momentum, impulse

(3) Potential energy, kinetic energy, momentum

(4) Pressure, stress, coefficient of elasticity

The dimensions of Planck's constant and angular momentum are respectively 

(1) $M{L}^2{T}^{-1}$ and $ML{T}^{-1}$

(2) $M{L}^2{T}^{-1}$ and $M{L}^2{T}^{-1}$

(3) $ML{T}^{-1}$ and $M{L}^2{T}^{-1}$

(4) $ML{T}^{-1}$ and $M{L}^2{T}^{-2}$

Let $\left[{\epsilon }_0\right]$ denotes the dimensional formula of the permittivity of the vacuum and $\left[{\mu }_0\right]$ that of the permeability of the vacuum. If M = mass, L = length, T = Time and I = electric current, then 

1. $\left[{\epsilon }_0\right]=M^{-1}{L}^{-3}{T}^{2}I$

2. $\left[{\epsilon }_0\right]=M^{-1}{L}^{-3}{T}^4{I}^2$

3. $\left[{\mu }_0\right]=ML{T}^{-2}{I}^{-3}$

4. $\left[{\mu }_0\right]=M{L}^2{T}^{-1}I$