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.
detailed solution
Correct option is B
Let N be the frequency of the tuning fork then the frequency of wire, when tension is 100 N will be (N+5) and the tension is 81 N it is (N-5) since each case 5 beats are heard per second.∴N+5=12lT1μ=12×0.5100μ=10μ→(i) and N−5=12lT2μ=12×0.581μ=9μ→(ii) Subtracting (ii) from(i) we have 10=1μ (or) μ=0.01 kg/m Using this value in (i) (or) (ii) N=95 HzTalk to our academic expert!
Similar Questions
Two tuning forks A and B produce 10 beats per second when sounded together. On slightly loading fork A with a little wax, it was observed that 15 beats are heard per second. If the frequency of fork B is 480 Hz. what is the frequency of fork A (in Hz) before it was loaded?
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