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(A) The frequency of a vibrating string is given by the formula $n = \frac{1}{2l} \sqrt{\frac{T}{\pi r^2 \rho}}$,where $l$ is the length,$T$ is the te

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Amplitude of the vibrations

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(A) The frequency of a vibrating string is given by the formula $n = \frac{1}{2l} \sqrt{\frac{T}{\pi r^2 \rho}}$,where $l$ is the length,$T$ is the tension,$r$ is the radius,and $\rho$ is the density of the material.Beats are produced when there is a difference in the frequencies of two sound sources.Changing the material $(\rho)$,stretching force $(T)$,or diameter $(r)$ will change the frequency of the wire,thereby producing beats.However,the amplitude of vibration affects the loudness of the sound,not its frequency.Therefore,changing the amplitude will not produce beats.

Two wires are producing fundamental notes of the same frequency. Change in which of the following factors of one wire will not produce beats between them?

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