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Q.

The diameter of a wire stretched by a force of 144 N between two bridges distant 50 cm is 1 mm. It produces 4 beats with a tuning fork while vibrating in fundamental mode. On reducing the tension to 121 N, again 4 beats/sec are heard. The frequency of fork is

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a

75 Hz

b

85 Hz

c

195 Hz

d

92 Hz

answer is D.

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Detailed Solution

we know that n∝TLet the frequency of fork be n. Thenn1−n=4  or  n1=n+4 and n−n2=4 or n2=n−4 n1n2=n+4n−4  From eqs. (1) and (2) 1211=n+4n−4 n=92Hz
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The diameter of a wire stretched by a force of 144 N between two bridges distant 50 cm is 1 mm. It produces 4 beats with a tuning fork while vibrating in fundamental mode. On reducing the tension to 121 N, again 4 beats/sec are heard. The frequency of fork is