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Question 31356
JEE Physics · Hard

Waves on String: Sonometer MCQ

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SonometerHardQuestion 31356

Question

Three sonometer wires of lengths 1:2:3 (same tension, same material) vibrate in harmonics such that all have same frequency. The harmonics are:
  1. A
    6:3:2
    Correct
  2. B
    1:2:3
  3. C
    3:2:1
  4. D
    2:4:6

Correct answer

6:3:2

Explanation

f = nv/(2L) ∝ n/L. For same f: n₁/L₁ = n₂/L₂ = n₃/L₃. With L₁:L₂:L₃ = 1:2:3: n₁:n₂:n₃ = 1:2:3 → same ratios, so n:1, n:2, n:3 means 6:3:2 for simplest integers.

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