EasyAssistant Engineer (Electrical), Class-2, Road and Building Department2025✓ Editorially verified

When the momentum of a body is doubled, its kinetic energy ___________

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Answer & Explanation

Correct AnswerC. Becomes four times its initial kinetic energy

Quick Explanation

For constant mass, kinetic energy is K=p²/(2m). Doubling momentum therefore multiplies kinetic energy by 2²=4. The GPSC final key revised the provisional answer to option C.

Formula / Key Relation

K = p²/(2m)

If p₂=2p₁:

K₂/K₁=(p₂/p₁)²=4

Detailed Explanation

Concept & Reasoning

Momentum p=mv and kinetic energy K=½mv². Eliminating v gives K=p²/(2m). This square dependence is the quickest way to compare energy after a momentum change without calculating velocity explicitly.

How to Solve It in the Exam

Momentum ×2 → kinetic energy ×4 for same mass.

Important Exam Point

Use final key C; provisional highlighting was revised.

Editorial / Answer-Key Note

The official GPSC final answer key revised the provisional outcome for this question from A to C.

Related Revision Path

This question sits in the revision path Power Plant Engineering → Engineering Mechanics → Work and Energy .

Kinetic Energy vs Momentum explanatory diagram

Quick Trick

Momentum ×2 → kinetic energy ×4 for same mass.

Common Mistake

Assuming kinetic energy is directly proportional to momentum.

Exam Tip

Use final key C; provisional highlighting was revised.

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Exam Path

Knowledge Path

Study concept · Kinetic Energy vs Momentum →Practice concept Practice topic

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