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Q.

Out of the following pairs, which one does not have identical dimensions is

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a

impulse and momentum

b

angular momentum and Planck's constant

c

moment of inertia and moment of force

d

work and torque

answer is A.

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Detailed Solution

The dimensions of moment of inertia [I]=ML2
and dimensions of moment of force
=[r]×[F]=[L]MLT2=ML2T2 
are not same
Further, work and torque =ML2T2
Angular momentum =ML2T1
Planck's constant =ML2T1
Impulse =MLT1 
Momentum =MLT1 

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