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String Open at One End

A 12 cm long ...

Question

A $12 cm$ long vibrating string is fixed at one end and free at the other end. If the speed of wave on string is $48 cm/s$ and string is vibrating in second overtone, find the frequency of vibration.

A

2 Hz

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B

10 Hz

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C

5 Hz

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D

16 Hz

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Solution

The correct option is C $5 Hz$
Given $V = 48 cm/s, l = 12 cm$
For second overtone,
$f = \frac{5 V}{4 l} = 5 Hz$

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String Open at One End

Standard XII Physics

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