The ratio of frequencies of $1^{s t}$ and $2^{n d}$ overtones produced in the vibrating stretched strings is :

1 : 3

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3 : 2

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2 : 3

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1 : 2

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Solution

The correct option is D 2 : 3
The ratio of frequencies produced, by a vibrating stretched string is 1 : 2 : 3 : 4 .............. etc.,
$∴$ The ratio of frequencies of $1^{s t}$ overtone (second harmonic) and $2^{n d}$ overtone ( $3^{r d}$ harmonic) is $= 2 : 3.$

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