Out of the following which pair of quantities do not have same dimensions

Options

A. Planck's constant and angular momentum.
B. Work and torque.
C. Impulse and momentum.
D. Torque and moment of inertia

Answer

D

Explanation

Angular momentum J = `n (h)/(2pi)` n and `2 pi` are dimensional so `[J] = [h]`
b. `[W] = [ML^2 T^(-2)] = ["Torque"]`
c. Impulse = change in momentum = `Delta P. P and Delta P` have same dimensions.
d. `[Torque] = [ML^2 T^(-2)]` [moment of inertia] = `[ML^2T^0]`
Not same