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's constatn
• D. work and torque

Answer 1

Answer: (B)

moment of inertia and moment of force

Moment of force $\left(\tau \right)$ is equal to the product of moment of inertia $\left(I\right)$ and the angular acceleration $\left(\alpha \right)$ of the rotating body.

$\therefore$ $\tau =I\alpha$

Hence the dimensions of moment of force and moment of inertia must be different.