JEE Physics · Hard

Work, Power and Energy: Spring Energy — Two Compressions MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Spring Energy — Two CompressionsHardQuestion 30439

Question

A spring is first compressed by x then by 2x. Ratio of work done (second to first compression) is:
  1. A
    2:1
  2. B
    4:1
    Correct
  3. C
    3:1
  4. D
    8:1

Correct answer

4:1

Explanation

W₁ = ½kx², W₂ = ½k(2x)² = 2kx². W₂/W₁ = 2kx²/(½kx²) = 4. Ratio = 4:1.