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Question 31373
JEE Physics · Hard

Waves on String: Standing Waves MCQ

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Standing WavesHardQuestion 31373

Question

A steel piano wire (μ = 0.005 kg/m, T = 500 N, L = 1 m) vibrates in 3rd harmonic. Frequency is:
  1. A
    100√10 Hz
  2. B
    150√10 Hz
    Correct
  3. C
    300 Hz
  4. D
    200 Hz

Correct answer

150√10 Hz

Explanation

v = √(500/0.005) = √100000 = 100√10 m/s. f₃ = 3×100√10/(2×1) = 150√10 ≈ 474 Hz.

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