JEE Physics · Hard

Simple Harmonic Motion: Springs in Combination MCQ

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

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Springs in CombinationHardQuestion 31137

Question

A mass m between two springs (k₁ left, k₂ right) is displaced and released. Effective spring constant is:
  1. A
    k₁ + k₂
    Correct
  2. B
    k₁k₂/(k₁+k₂)
  3. C
    k₁ − k₂
  4. D
    k₂ − k₁

Correct answer

k₁ + k₂

Explanation

When mass is displaced, one spring is compressed and one extended — both exert restoring forces on same side. Effective k = k₁ + k₂ (parallel).