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The kinetic energy of a body becomes four times of its initial value, then new momentum will ___________

(a) Become twice its initial value

(b) Become thrice its initial value

(c) Become four times its initial value

(d) Remains constant

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I'm obligated to ask this question of Energy topic in chapter Kinematics of Engineering Physics I

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The correct choice is (a) Become twice its initial value

Explanation: p = √2mK

p^‘ = √(2m×4K) = 2√2mK = 2p

If the kinetic energy of a body becomes four times of its initial value, then new momentum will become twice its initial value.

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