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Two waves of lengths 50 cm and 51 cm produced 12 beats per second. The velocity of sound is 

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a
306 m/s
b
331 m/s
c
340 m/s
d
360 m/s

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detailed solution

Correct option is A

n1=vλ1=v0.50  and  n2=vλ2=v0.51Δn=n1−n2=v 10.05−10.51=12⇒v=12×0.51×0.500.01=306 m/s


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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