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

Impulse and momentum

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Angular momentum and Planck's constant

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Work and torque

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Moment of inertia and moment of a force

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Solution

The correct option is C Moment of inertia and moment of a force
Moment of Inertia, $I = M r^{2}$
$[I] = [M L^{2}]$
Moment of force, $\to τ = \to r \times \to F$
$[\to τ] = [L] [M L T^{- 2}] = [M L^{2} T^{- 2}]$

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

The correct option is C Moment of inertia and moment of a forceMoment of Inertia, I=Mr2[I]=[ML2]Moment of force, →τ=→r×→F[→τ]=[L][MLT−2]=[ML2T−2]

The correct option is C Moment of inertia and moment of a force
Moment of Inertia, $I = M r^{2}$
$[I] = [M L^{2}]$
Moment of force, $\to τ = \to r \times \to F$
$[\to τ] = [L] [M L T^{- 2}] = [M L^{2} T^{- 2}]$