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String Fixed at Both Ends

In the case o...

Question

In the case of a vibrating string, the frequency of the first overtone is equal to the frequency of the

A

fundamental

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B

first harmonic

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C

second harmonic

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D

third harmonic

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Solution

The correct option is C second harmonic
The overtone frequency is
$V_{1} = \frac{3 V}{4 L} = 3 V_{o}$
$(2 n + 1) V_{o} = 3 V_{o}$
$\Rightarrow n = 1$
$n = 0$ is the first harmonic, $∴ n = 1$ is the second harmonic.

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