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Question 31333

JEE Physics · Hard

Waves on String: Resonance Frequency MCQ

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Resonance FrequencyHardQuestion 31333

Question

String of 60 cm length vibrates at 180 Hz (4th harmonic). Wave speed is:

A
54 m/s
Correct
B
27 m/s
C
108 m/s
D
216 m/s

Correct answer

54 m/s

Explanation

f₄ = 4v/(2L) = 4v/(2×0.6) = 4v/1.2. 180 = 4v/1.2 → v = 180×1.2/4 = 54 m/s.

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