The physical quantity that has no dimensions 

1. Angular Velocity

2. Linear momentum

3. Angular momentum

4. Strain

Given that v is speed, r is the radius and g is the acceleration due to gravity. Which of the following is dimensionless?

1. $v^2/rg$

2. $v^{2}r/g$

3. $v^{2}g/r$

4. $v^{2}rg$

$M{L}^{-1}{T}^{-2}$ represents 

1. Stress

2. Young's Modulus

3. Pressure

4 All the above three quantities

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. $M{L}^{-3}$

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

Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful?

1. A/B

2. A + B

3. A – B

4. None

Dimensions of CR are those of 

1. Frequency

2. Energy

3. Time period

4. Current

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. $\left[ML{T}^{-2}A\right]$

Which physical quantities have the same dimensions?

1. Couple of force and work

2. Force and power

3. Latent heat and specific heat

4. Work and power