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Q.

The length of a sonometer wire tuned to a frequency of 100 Hz is 0.5 m . Calculate the frequency of the tuning fork with which the vibrating wire will be in tune when the length is made0.2 m .

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a

250 Hz

b

384 Hz

c

126 Hz

d

512 Hz

answer is A.

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Detailed Solution

Frequency n1=100 Hz

Length l1=0.5 m

Length l2=0.2 m

Frequency n2=?

n1l1=n2l2

100(0.5)=n2(0.2)

n2=100(0.5)0.2

∴ n2=250 Hz

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