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Periodic Motion

A string has ...

Question

A string has a length of $5 m$ between fixed points and has fundamental frequency of $20 H z$ . What is the frequency of the second overtone?

A

40 H z

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B

50 H z

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C

60 H z

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D

30 H z

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Solution

The correct option is C $60 H z$
Given,
Length of string between fixed ends $= 5 m$
Fundamental frequency $(f_{0} = 20 H z$
For second overtone, $n = 3$
$∴ f_{3} = 3 f_{0}$
$= 3 \times 20$
$= 60 H z$ .

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