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

Dimensions of CR are those of 

(1) Frequency

(2) Energy

(3) Time period

(4) Current

The physical quantity that has no dimensions 

(1) Angular Velocity

(2) Linear momentum

(3) Angular momentum

(4) Strain

$M{L}^{-1}{T}^{-2}$ represents 

(1) Stress

(2) Young's Modulus

(3) Pressure

(4) All the above three quantities

Dimensions of magnetic field intensity is 

(1) $\left[M^0{L}^{-1}{T}^0{A}^1\right]$

(2) $\left[ML{T}^{-1}{A}^{-1}\right]$

(3) $\left[M{L}^0{T}^{-2}{A}^{-1}\right]$

(4) $\left[ML{T}^{-2}A\right]$

The force F on a sphere of radius ‘a’ moving in a medium with velocity ‘v’ is given by $F=6\pi \eta av$. The dimensions of $\eta$ are 

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

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

(3) $ML{T}^{-2}$

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