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If momentum of a body is increased by 20%, then its kinetic energy increases by

Asked in JEE Main 29th July 2nd Shift 2022 · Change of kinetic energy and momentum

• (1) 36%
• (2) 40%
• (3) 44%
• (4) 48%

Step-by-step solution

Why the other options are wrong

• (1) Comes from taking a 20% decrease instead of an increase: 0.8²=0.64, a 36% change.
• (2) Comes from taking K∝ p and doubling 20% into 40%.
• (4) No single slip gives 48%; it would need p to rise by about 21.7%.

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