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: (c). Angular momentum and h: both [ML²T⁻¹]. Impulse and momentum: both [MLT⁻¹]. Work and torque: both [ML²T⁻²]. Moment of inertia = [ML²], moment of force = [ML²T⁻²]: different. So the answer is (c).

Out of the following pair, which one does NOT have identical… | JEE Main 2005 (AIEEE)

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Units & Dimensions

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

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Answer: (c)

Angular momentum and $h$ : both $[\mathrm{ML^2T^{-1}}]$ . Impulse and momentum: both $[\mathrm{MLT^{-1}}]$ .
Work and torque: both $[\mathrm{ML^2T^{-2}}]$ .
Moment of inertia $= [\mathrm{ML^2}]$ , moment of force $= [\mathrm{ML^2T^{-2}}]$ : different.
So the answer is (c).

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