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Which has a more direct influence on the loudness of a sound wave: the displacement amplitude or the pressure amplitude?

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Which has a more direct influence on the loudness of a sound wave: the displacement amplitude or the pressure amplitude? Explain your reasoning.


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Pressure amplitude has a direct influence on the loudness of sound waves. This is because the value of pressure amplitude has a greater value than the displacement amplitude and the intensity depends upon the pressure amplitude as

\(I=\frac{\left(\triangle P_m\right)^2}{2\rho v}\)

This shows that the intensity is influenced by pressure amplitude.

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