Assume that the displacement ( ) of air is proportional to the pressure difference (…

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

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 \sim 10 \text{ Pa}

v \sim 300 \text{ m/s}

\rho \sim 1 \text{ kg/m}^3

and

f \sim 1000 \text{ Hz}

, then

s

will be of the order of (take the multiplicative constant to be 1). (1)

\frac{3}{100} \text{ mm}

(2)

10 \text{ mm}

(3)

\frac{1}{10} \text{ mm}

(4)

1 \text{ mm}