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Q.

A tuning fork gives 4 beats with 50 cm length of a sonometer wire. If the length of the wire is shortened by 1 cm, the number of beats is still the same. The frequency of the fork is (in Hz)

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a

396

b

400

c

404

d

384

answer is A.

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Detailed Solution

n∝1l⇒n1l1=n2l2⇒(n+4)49=(n−4)50⇒n=396

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A tuning fork gives 4 beats with 50 cm length of a sonometer wire. If the length of the wire is shortened by 1 cm, the number of beats is still the same. The frequency of the fork is (in Hz)