Which of the following pairs does not have same dimensions?
angular momentum and Planck's constatn
work and torque
impulse and momentum
moment of inertia and moment of force
A
impulse and momentum
B
moment of inertia and moment of force
C
angular momentum and Planck's constatn
D
work and torque
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Solution
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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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