Physics

In which of the following pairs, the two physical quantities have different dimensions?


ANSWER

Moment of inertia and moment of a force


SOLUTION
Both plank's constant and angular momentum have dimensions
$$[ML^2T^{-1}]$$
Both impulse and linear momentum have dimensions
$$[MLT^{-1}]$$
Moment of inertia has dimensions
$$[ML^2]$$
Moment of force has dimensions
$$[ML^2T^{-2}]$$
Both energy and torque have dimensions
$$[ML^2T^{-2}]$$
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