Work, Energy and Power · UPSC CDS/OTA · Question 3 of 30

Work, Energy and Power – Question 3

Step-by-step solution. Work, Energy and Power for UPSC CDS/OTA.

Topic
Work, Energy and Power
Subject
General Studies
Difficulty
Medium
Solve Time
45–60 sec

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Q · Work, Energy and PowerMedium · 45s

Consider a spring compressed by a force F. The potential energy stored in the spring is proportional to:

TopicWork, Energy and Power
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained — no skipped algebra.

Potential energy U=12kx₂U=21​kx₂ and force F=kxF=kx ⟹ x=F/kx=F/k. Therefore, U∝F₂U∝F₂.

Final Answer: Option B — F²
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Work, Energy and Power Question 3 – UPSC CDS/OTA