Assume that the displacement (s) of air is proportional to the pressure difference \left ( \Delta p \right ) created by a sound wave. Displacement (s) further depends on the speed of sound \left ( \vartheta \right ), density of air \left ( \rho \right ) and the frequency \left ( f \right ). If \Delta p\sim 10Pa,\; \vartheta \sim 300 m/s,\; \rho \sim 1\; kg/m^{3} and f-1000\; Hz, then s will be of the order pf (take the multiplicative constant to be 1)
Option: 1 \frac{3}{100}mm
Option: 2 10\: mm
Option: 3 \frac{1}{10}\: mm
Option: 4 1\: mm

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