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Question

A sonometer wire under a tension of 10 kg weight is in unison with tuning fork of frequency 320 Hz. To make the wire vibrate in unison with a tuning fork of frequency 256 Hz, the tension should be altered by

A
3.6 kg decreased
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B
3.6 kg increased
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C
6.4 kg decreased
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D
6.4 kg increased
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Solution

The correct option is A 3.6 kg decreased
frequency in a sonometer is given as f=v2lTμ

f1f2=T1T2

320256=10×gT2

54=10×gT2

T2=1625×10g N

T2=6.4kg

Tension to be decreased by 3.6 kg.


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