Out of the following which pair of quantities do not have s…

Physics Units, Dimensions and Measurement Dimensions MCQ (Single Correct)

Out of the following which pair of quantities do not have same dimensions-

Planck's constant and angular momentum.

Work and torque.

Impulse and momentum.

Torque and moment of inertia

Text Solution

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The correct answer is:

Angular momentum J = n n and 2 π are dimensionless so [J] = [ λ ]

[W] = [ML 2 T –2 ] = [Torque]

Impulse = change in momentum. = Δ P. P and Δ P have same dimensions

[Torque] = [ML 2 T –2 ] [moment of inertia] = [ML 2 T 0 ] Not same

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