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Question

Which of the following pairs does not have same dimensions?

A
impulse and momentum
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B
moment of inertia and moment of force
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C
angular momentum and Planck's constatn
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D
work and torque
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Solution

The correct option is D moment of inertia and moment of force
Moment of force (τ) is equal to the product of moment of inertia (I) and the angular acceleration (α) of the rotating body.
τ=Iα
Hence the dimensions of moment of force and moment of inertia must be different.

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