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Question 31134
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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 31134

Question

Two springs k₁ and k₂ in series support mass m. Time period of oscillation is:
  1. A
    2π√(m(k₁+k₂)/(k₁k₂))
    Correct
  2. B
    2π√(mk₁k₂/(k₁+k₂))
  3. C
    2π√(m(k₁k₂))
  4. D
    2π√(m/k₁+m/k₂)

Correct answer

2π√(m(k₁+k₂)/(k₁k₂))

Explanation

k_eff = k₁k₂/(k₁+k₂). T = 2π√(m/k_eff) = 2π√(m(k₁+k₂)/(k₁k₂)).

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