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. $M{L}^{-3}$

A force F is given by F = at + bt², where t is time. What are the dimensions of a and b:

1. $ML{T}^{-3}$ and $M{L}^2{T}^{-4}$

2. $ML{T}^{-3}$ and $ML{T}^{-4}$

3. $ML{T}^{-1}$ and $ML{T}^0$

4. $ML{T}^{-4}$ and $ML{T}^1$

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 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 physical quantity which has the dimensional formula $M^1{T}^{-3}$ is 

1. Surface tension

2. Solar constant

3. Density

4. Compressibility

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