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  4. A sonometer wire is vibrating in the third overtone. There are

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Q. A sonometer wire is vibrating in the third overtone. There are

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Solution:

The third overtone frequency
$v _{3}=\frac{7 V }{4 L }=7 V _{ a }$
The third overtone has $(n+1)$ Antinodes and $(n+2)$ nodes,
i.e $4$ Antinodes and $5$ nodes.