A tuning fork of frequency 512 Hz is vibrated with a sonometer wire and 6 beats per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is

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KollegeApply · Accepted Answer

506 Hz The frequency of the sonometer may be 512 $\pm$ 6Hz, i.e., 506 Hz or 518 Hz. On increasing the tension in a sonometer wire, the velocity of the wave (v) increases proportionately as the number of beats decreases. Therefore, the frequency of the sonometer wire is 506 Hz. [Solution diagram: 67499_solution_1.png]

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