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Question 30472
JEE Physics · Hard

Work, Power and Energy: JEE — Energy Stored in Spring Pair MCQ

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

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JEE — Energy Stored in Spring PairHardQuestion 30472

Question

Two springs (k₁, k₂) are in parallel. Compressed by x. Total energy stored is:
  1. A
    ½(k₁+k₂)x²
  2. B
    ½k₁x² + ½k₂x²
  3. C
    Both options A and B are equivalent
    Correct
  4. D
    ½x²/(k₁+k₂)

Correct answer

Both options A and B are equivalent

Explanation

In parallel, both springs have the same compression x. Total PE = ½k₁x² + ½k₂x² = ½(k₁+k₂)x². Both expressions A and B are mathematically identical.

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