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

Asked in JEE Main 20th July 2nd Shift 2021 · Change of kinetic energy and momentum

(1) 100%
(2) 200%
(3) 400%
(4) 300%

Answer: (1) 100%

Step-by-step solution

p∝√K: p becomes √4=2 times.

Change =(2-1)×100%=100%.

Why the other options are wrong

(2) Comes from reporting the new momentum (200% of the old) instead of the change.
(3) Comes from taking p∝ K and then reporting the new value.
(4) Comes from taking p∝ K; 300% is the change in kinetic energy, not momentum.

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