Question

Which of the following pairs do not have identical dimensions ?

• A. Pressure and stress
• B. Work and pressure energy
• C. Moment of force and momentum
• D. Angular momentum and planck's constant

Answer 1

The correct option is C Moment of force and momentum

Moment of force is $rF\sin \theta$
Dimensions of moment of force are$\text{[L][M L T}{}^{-2}\text{]}=\text{[M L}{}^2\text{T}{}^{-2}\text{]}$
Momentum is defined as mv
Dimensions of momentum are$\text{[M][ L T}{}^{-1}\text{]}=\text{[M L T}{}^{-1}\text{]}$
So momentum and moment of force does not have same dimensional formula.