If the frequency of the 2nd and 5th harmonics of string fixed at both ends differ by 108Hz. What is the fundamental frequency of the string?
A
18Hz
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B
9Hz
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C
36Hz
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D
72Hz
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Solution
The correct option is C36Hz Frequency of vibration in a string fixed at both ends is given by f=nv2L Fundamental frequency f=v2L For second harmonic, f2=2v2L=2f For fifth harmonic, f5=5v2L=5f
From the data given in the question, 5f−2f=108⇒3f=108 ⇒f=36Hz