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An unknown frequency x produces 8 beats per seconds with a frequency of 250 Hz and 12 beats with 270 Hz source, then x is

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258 Hz

242 Hz

262 Hz

282 Hz

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detailed solution

Correct option is A

Since source of frequency x gives 8 beats per second with frequency 250 Hz, it's possible frequency are 258 or 242. As source of frequency x gives 12 beats per second with a frequency 270 Hz, it's possible frequencies 282 or 258 Hz. The only possible frequency of x which gives 8 beats with frequency 250 Hz also 12 beats per second with 258 Hz.

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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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