Q.

A solid sphere and a disc of same radii are rolling  down an inclined plane without slip. One reaches earlier than the other due to

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a

different radius of gyration

b

different size

c

different friction

d

different moment of inertia

answer is A.

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Detailed Solution

THE TIME TAKEN TO ROLL DOWN IS GIVEN BY  T=2Laa = g sin θ1+IMR2 = g sin θ1+K2 R2    [I = MK2]Clearly one reaches earlier than other due to different radius of gyration.
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