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Question 31334
JEE Physics · Hard

Waves on String: Sonometer MCQ

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

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SonometerHardQuestion 31334

Question

Two sonometer wires of lengths L₁ and L₂ are in unison. Tension in wire 1 is halved. To maintain unison, L₁ must become:
  1. A
    L₁/√2
    Correct
  2. B
    L₁√2
  3. C
    2L₁
  4. D
    L₁/2

Correct answer

L₁/√2

Explanation

f ∝ √T/L. Wire 1: f = √T₁/L₁ = √(T₁/2)/L₁'. For same f: L₁' = L₁ × √(T₁/2)/√T₁ = L₁/√2.

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