Assume that the displacement(s) of air is
proportional to the pressure difference ($\Delta $p)
created by a sound wave. Displacement (s)
further depends on the speed of sound (v),
density of air ($\rho $) and the frequency (f). If
$\Delta $p ~ 10 Pa, v ~ 300 m/s, $\rho $ ~ 1 kg/m3 and f ~ 1000 Hz,
then s will be of the order of (take the
multiplicative constant to be 1) :
1 mm
${3 \over {100}}$ mm
10 mm
${1 \over {10}}$ mm
Solution
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