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139. Problem 19.53 (RHK) In an experiment on standing waves, a string 92.4 cm long is attached to the prong of an elastically driven tuning fork, which vibrates perpendicular to the length of the string at a frequency of 60 Hz. The mass of the string is 44.2 g. We have to calculate the tension in the string if it is to vibrate with four loops. |
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Solution: Click For PDF Version Length of the string,
Frequency of the standing wave at resonance is equal to the frequency of the tuning fork, f = 60 Hz. Mass of the string,
Mass per unit length of the string,
As the string is vibrating with four loops, wavelength of the
standing wave and its length are related as
So,
Velocity of wave in the string,
Tension in the string,
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