Sound WavesHard

Question

A vibrating string of certain length l under a tension T resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length 75 cm inside a tube closed at one end. The string also generates 4 beats per second when excited along with a tuning fork of frequency n. Now when the tension of the string is slightly increased the number of beats reduces 2 per second. Assuming the velocity of sound in air to be 340 m/s, the frequency n of thetuning fork in Hz is

Options

A.344
B.336
C.117.3
D.109.3

Solution

ns = = n - 4
∴ n = 344 Hz

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