Out of the following which pair of quantities does not have same dimensions?

Options

(a) Planck’s constant and angular momentum
(b) Work and energy
(c) Pressure and Young’s modulus
(d) Torque and moment of inertia

Correct Answer:

Torque and moment of inertia

Explanation:

Dimension of Torque = I × α = [ML²T⁻²]
Dimension of Moment of inertia (I) = Work = ML²
Therefore, Torque and Moment of Inertia is not same dimensions.