Out of the following pairs, which one does not have identical dimensions is
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a
moment of inertia and moment of force
b
work and torque
c
angular momentum and Planck's constant
d
impulse and momentum
answer is A.
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Detailed Solution
The dimensions of moment of inertia [I]=ML2and dimensions of moment of force=[r]×[F]=[L]MLT−2=ML2T−2 are not sameFurther, work and torque =ML2T−2Angular momentum =ML2T−1Planck's constant =ML2T−1Impulse =MLT−1 Momentum =MLT−1