Question

Which of the following pairs does not have same dimensions ?

(a) Impulse and momentum

(b) Moment of inertia and moment of force

(c) Angular momentum and Planck'* constant

(d) Work and torque.

Answer 1

Correct option (b) Moment of inertia and moment of force

Explanation :

Impulse = F x t

Angular momentum, L = mvr

Planck'* constant, [h] = [energy] x [time]

Moment of inertia, I = mr2 = mass x (distance)2

Therefore, moment of inertia and moment of force have different dimensions.