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Question

If the Kinetic energy of a moving body becomes four times its initial Kinetic energy, then the percentage change in its momentum will be :

A
100 %
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B
200 %
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C
300 %
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D
400 %
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Solution

The correct option is A 100 %
The K.E of a moving body has relation with momentum as
K.E, K=P22m
PK
Given, the Kinetic energy of a moving body becomes four times its initial Kinetic energy.
Let initial K.E of the body be K
final K.E of the body will be 4K
P2P1=4KK, where, P2 and P1 are the final momentum and initial momentum of the body respectively.
P2P1=2
Percentage change in momentum is given by,
(P2P1P1) %=(P2P11)×100=(21)×100=100 %

(ΔPP1) %=100 %
Hence, option (a) is correct.

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