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Question

Two bodies, A and B with moment of inertia IA and IB (IB>IA) have equal rotational kinetic energy are rotating about the same axis. If LA and LB be their angular momentum respectively then

A
LA=LB2
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B
LA=2LB
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C
LB>LA
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D
LA>LB
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Solution

The correct option is C LB>LA
We know that the relation between rotational kinetic energy and angular momentum is given by:
E=L22I, where,
E rotational kinetic energy
L angular momentum
​​​​​​​I moment of inertia
Given, rotational kinetic energies of the two bodies are equal.
So, L2A2IA=L2B2IB
IBIA=L2BL2A
LB>LA [IB>IA ]

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