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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 31112

Question

Two springs (k₁ and k₂) are in series. Effective spring constant is:
  1. A
    k₁ + k₂
  2. B
    (k₁k₂)/(k₁+k₂)
    Correct
  3. C
    k₁k₂/(k₁−k₂)
  4. D
    (k₁+k₂)/2

Correct answer

(k₁k₂)/(k₁+k₂)

Explanation

For springs in series: 1/k_eff = 1/k₁ + 1/k₂ → k_eff = k₁k₂/(k₁+k₂).

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