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A vibrating string of certain length l under a tension T resonates with a mode

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 to 2 per second. Assuming the velocity of sound in air to be 340 m/s, the frequency n of the tuning fork in Hz is

Options

(a) 344
(b) 336
(c) 117.3
(d) 109.3

Correct Answer:

344

Explanation:

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