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Question

A tuning fork vibrating with a sonometer having 20 cm wire produces 5 beats per second. The beat frequency does not change, if the length of the wire is changed to 21 cm. The frequency of tuning fork is:

A
200 Hz
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B
210 Hz
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C
205 Hz
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D
215 Hz
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Solution

The correct option is C 205 Hz
The frequency of sonometer decrease on increasing the length.
Thus f1f0=5=v2(0.2)f0
and f0f2=5=f0v2(0.21)
v=84 m/s
Thus f0=205 Hz

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