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Two tuning forks A and B give 4 beats per second. The frequency of A is 256 Hz. On loading B slightly, we get 5 beats in 2seconds. The frequency of B after loading is

a
253.5 Hz
b
258.5 Hz
c
260 Hz
d
252 Hz

detailed solution

Correct option is C

nA = Known frequency = 256 Hz, nB = ?x = 4 beats per sec which is decreasing (4 bps to 52 bps) after loading (i.e. x↓)Unknown tuning fork B, is loaded so nB↓Hence  nA – nB↓  = x↓        ... (i)        →        Wrong           nB↓  – nA = x↓        ... (ii)         →      Correct ⇒ nB = nA + x = 256 + 4 = 260 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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