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 $\Delta p \approx 10\, Pa , v  \approx 300\, m / s , p  \approx 1\, kg / m ^{3}$ and $f \approx  1000 \,Hz$, then $s$ will be the order of

(take multiplicative constant to be $1$ )

  • A$10\,mm$
  • B$\frac{3}{100}\, mm$
  • C$1\, mm$
  • D$\frac{1}{10}\, mm$
JEE MAIN 2020, Diffcult
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