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Question

If angular momentum of a body is increased by 200% its kinetic energy will increase by

A
400%
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B
800%
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C
200%
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D
100%
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Solution

The correct option is B 800%
Kinetic energy K=L22I
where L is the angular momentum of a body I is the moment of inertia of a body.
When the angular momentum of a body is increased by 200%, its new momentum L will become
L=L+200L100=3L
KK=(LL)2=(3LL)2=9
K=9K
% increase in kinetic energy =KKK×100
=9KKK×100=800%.

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