Question

Which of the following pair does not have the same dimensions?

• A. Moment of inertia and Torque
• B. Linear Momentum and impulse
• C. Angular Momentum and Plank's constant
• D. Work and internal energy

Answer 1

Answer: (A)

Moment of inertia and Torque

Moment of inertia $={mr}^2={ML}^2$
Torque $=M^1{L}^2{T}^{-2}$
Linear momentum $=mv=ML{T}^{-1}$
Impulse $=ML{T}^{-1}$
Angular momentum $=M{L}^2{T}^{-1}$
Planks constant$=M{L}^2{T}^{-2}$
Work $=M{L}^2{T}^{-2}$
Internal Energy $=M{L}^2{T}^{-2}$
Hence, option A is correct.