Consider a sound wave in air that has displacement amplitude of 0.1 mm. Calculate the pressure...

Question:

Consider a sound wave in air that has displacement amplitude of 0.1 mm. Calculate the pressure amplitude for frequencies of:

1) 500 Hz

2) 20,000 Hz

The relation between Pressure and Displacement amplitude:

The displacement amplitude of the wave is directly proportional to the displacement amplitude and it is inversely proportional to the bulk modulus of the air.

Answer and Explanation: 1

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Given data:

  • Displacement Amplitude {eq}(A) = 0.1 \rm \ mm {/eq}

(1)

The displacement amplitude is given as

$$\begin{align} A &= \dfrac{v \Delta...

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