Assume that the displacement (s) of air is proportional to the pressure difference (Δp) created by a sound wave. Displacement (s) further depends on the speed of sound (v), density of air (ρ) and the frequency (f). If Δp~10 Pa, v~300 m/s, ρ~1 kg/m3 and f~1000 Hz, then s will be of the order of (take the multiplicative constant to be 1)
(1) \(\frac{3}{100}\) mm
(2) 10 mm
(3) 1 mm
(4) \(\frac{1}{100}\) mm