Which pair has the same dimensions?

(1) Work and power

(2) Density and relative density

(3) Momentum and impulse

(4) Stress and strain

Dimensions of one or more pairs are same. Identify the pairs

(1) Torque and work

(2) Angular momentum and work

(3) Energy and Young's modulus

(4) Year and wavelength

Dimensional formula for volume elasticity is

1. $M^1{L}^{-2}{T}^{-2}$

2. $M^1{L}^{-3}{T}^{-2}$

3. $M^1{L}^2{T}^{-2}$

4. $M^1{L}^{-1}{T}^{-2}$

The dimensions of universal gravitational constant are

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

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

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

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

The dimensional formula of angular velocity is

(1) $M^0{L}^0{T}^{-1}$

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

(3) $M^0{L}^0{T}^1$

(4) $M{L}^0{T}^{-2}$

Dimensional formula for angular momentum is

 (a) $M{L}^2{T}^{-2}$

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

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

(4) $M^0{L}^2{T}^{-2}$

The dimensional formula for r.m.s. (root mean square) velocity is

(1) $M^{0}L{T}^{-1}$

(2) $M^0{L}^0{T}^{-2}$

(3) $M^0{L}^0{T}^{-1}$

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

The dimensional formula for Planck's constant (h) is 

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

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

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

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

Out of the following, the only pair that does not have identical dimensions is 

(1) Angular momentum and Planck's constant

(2) Moment of inertia and moment of a force

(3) Work and torque

(4) Impulse and momentum