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Physics Wave and Sound Beats MCQ (Single Correct)

A vibrating string of certain length under a tension 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 . 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 , the frequency of the tuning fork (in Hz) is

A
344
B
336
C
117.3
D
109.3

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The correct answer is:
A

Frequency of vibrating string increases with the increase in tension. Since the number of beats are decreasing, frequency of tuning fork = third harmonic of closed pipe

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