If the frequencies of the second and fifth harmonics of a string differ by 54 Hz. What is the fundamental frequency of the string ?

18Hz

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15Hz

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11Hz

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6Hz

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Solution

The correct option is A 18Hz
Let the fundamental frequency of string be $f_{0}$ .
Thus the second and fifth harmonics are $2 f_{0}$ and $5 f_{0}$ respectively.
It is given that $5 f_{0} - 2 f_{0} = 54 H z$
$⟹ f_{0} = 18 H z$

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