Find the amplitude of vibration of the particles of air through which a sound wave of intensity 2.0 x 10 –6 W/m 2 and frequency 1.0 kHz is passing. Density of air = 1.2 kg/m 3 and speed of sound in air = 330 m/s.
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The intensity of a sound wave is given by the formula: 
, where A is the displacement amplitude.
Rearrange the formula to solve for the displacement amplitude ( A ):
Substitute the given values into the rearranged formula:
Calculate the value of 
:
Calculate the amplitude ( A ) by taking the square root:
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