Q.

Two rigid bodies A and B rotate with angular momenta LA and LB respectively. The moments of inertia of A and B about the axes of rotation are IA and IB respectively. If IA = IB/4 and LA = 5LB, Then the ratio of rotational kinetic energy KA of A to the rotational kinetic energy KB of B is given by

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a

KAKB=254

b

KAKB=54

c

KAKB=14

d

KAKB=100

answer is D.

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Detailed Solution

KA=LA22lA=4×25LB22lB      KB=LB22lB Now, KAKB=25×4=100
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Two rigid bodies A and B rotate with angular momenta LA and LB respectively. The moments of inertia of A and B about the axes of rotation are IA and IB respectively. If IA = IB/4 and LA = 5LB, Then the ratio of rotational kinetic energy KA of A to the rotational kinetic energy KB of B is given by