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Questions  

A tuning fork and a sonometer wire were sounded together and produce 4 beats per second. When the length of sonometer wire is 95 cm or 100 cm, the frequency of the tuning fork is

a
156 Hz
b
152 Hz
c
148 Hz
d
160 Hz

detailed solution

Correct option is A

Probable frequencies of tuning fork be n+4 or n-4 Frequency of sonometer wire n∝1l∴n+4n−4=10095 or  95 (n+4)=100(n−4) or 95n+380=100n−400 or 5n=780 or  n=156 Hz

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Similar Questions

A metal wire of diameter 1.5 mm is held on two knife edges separated by a distance 50 cm the tension in the wire is 100 N the wire vibrating with its fundamental frequency and vibrating tuning fork together produces 5 beats per second. The tension in the wire is then reduced to 81 N, when the two are excited, beats are heard at the same rate. Calculate frequency of the fork.


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