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
Text Solution
Verified by ExpertsA
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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