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Q.

The frequency of transverse vibrations in a stretched string is 100 Hz . If the tension is increased to two times and the length is reduced to one-fourth the original values, the frequency of vibration will be

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a

25 Hz

b

200 Hz

c

4002 Hz

d

1600 Hz

answer is C.

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Detailed Solution

Frequency n1=100 Hz Tension T1=T Tension T2=2T Length l1=l Length l2=l4 n1n2=l2l1T1T2 100n2=l4lT2T 100n2=1412 n2=4002 Hz
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