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 $\Delta p \sim$ $10 \mathrm{~Pa}, v \sim 300 \mathrm{~m} / \mathrm{s}, \rho \sim 1 \mathrm{~kg} / \mathrm{m}^{3}$ and $f \sim 1000 \mathrm{~Hz}$, then $s$ will be of the order of (take the multiplicative constant to be 1 )

Question:

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 $\Delta p \sim$ $10 \mathrm{~Pa}, v \sim 300 \mathrm{~m} / \mathrm{s}, \rho \sim 1 \mathrm{~kg} / \mathrm{m}^{3}$ and $f \sim 1000 \mathrm{~Hz}$, then $s$ will be of the order of (take the multiplicative constant to be 1 )

1. $\frac{3}{100} \mathrm{~mm}$

2. $10 \mathrm{~mm}$

3. $\frac{1}{10} \mathrm{~mm}$

4. $1 \mathrm{~mm}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Waves chapter.

JEE Main Previous Year Sep. 05, 2020 (I)

Correct Option: 1

Solution: