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A pointer attached to a vibrating fork ...

A pointer attached to a vibrating fork presses a smoked cylinder lightly. The cylinder is suddenly rotated through one complete revolution in 0.75 seconds. The pointer traces 192 waves on the cylinder. Calculate the frequency of the tuning fork.

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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 75cm 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 the tuning fork in Hz is

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