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

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

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

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) $v^{2}rg$

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

(1) Surface tension

(2) Solar constant

(3) Density

(4) Compressibility

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 $ML{T}^1$

The dimensions of the interatomic force constant are:

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

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

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

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