Question

Out of the following pair, which one does NOT have identical dimensions is

• A angular momentum and Planck's constant
• B impulse and momentum
• C moment of inertia and moment of a force
• D work and torque

Answer 1

Correctt option is C) moment of inertia and moment of a force

Moment of inertia, I = Mr²

\( \therefore\) [I] = [ML²]

Moment of force, \(\overrightarrow \tau = \overrightarrow r \times \overrightarrow F \)

\(\therefore[\overrightarrow \tau ]=[L][ML{T^{ - 2}}]=[ML^{ 2}{T^{ - 2}}]\)