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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250 Hz

512 Hz

384 Hz

126 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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