B M Sharma Solutions for Chapter: Sound Waves and Doppler Effect, Exercise 2: CONCEPT APPLICATION EXERCISE

The excess pressure in a travelling sound wave is given by $\mathrm{\Delta p}=1.5\sin \left[\frac{2\mathrm{\pi }}{\mathrm{\lambda }}(\mathrm{x}-330\mathrm{t})\right]$, where $x$ and $\lambda$, are in meters and $t$ is in seconds and $p$ is in pascals.

What is the maximum increase in pressure (pressure amplitude)?

The excess pressure in a travelling sound wave is given by $\mathrm{\Delta p}=1.5\sin \left[\frac{2\mathrm{\pi }}{\mathrm{\lambda }}(\mathrm{x}-330\mathrm{t})\right]$, where $x$ and $\lambda$, are in meters and $t$ is in seconds and $p$ is in pascals.

If the equilibrium pressure of air is $1.01\times {10}^5 \mathrm{Pa}$, What is the pressure at $x=\frac{1}{6} \mathrm{m}$ and $t=0?$

The excess pressure in a travelling sound wave in air is given by $\Delta p=\left(0.01 {\mathrm{Nm}}^{-2}\right) \sin \pi \left[\left(600{ \mathrm{s}}^{-1}\right)t-\left(2{ \mathrm{m}}^{-1}\right)x\right]$

Find the frequency, wavelength and the speed of sound wave in air.

The excess pressure in a travelling sound wave in air is given by $\Delta p=\left(0.01 {\mathrm{Nm}}^{-2}\right) \sin \pi \left[\left(600{ \mathrm{s}}^{-1}\right)t-\left(2{ \mathrm{m}}^{-1}\right)x\right]$

If the equilibrium pressure of air is $1.01\times {10}^5 {\mathrm{Nm}}^{-2},$ what are the maximum and minimum pressures at a point as the wave passes through that point?

By how much must the temperature of air near $0°\mathrm{C}$ be changed to cause the speed in it to change by $1\%$

Determine the percentage change in the speed of sound in air when the temperature changes from $10°\mathrm{C}$ to $20°\mathrm{C}$.

Speed of sound in hydrogen at $0{}^{\circ }\mathrm{C}$ is $1200 \mathrm{m} {\mathrm{s}}^{-1}$. When some amount of oxygen is mixed with hydrogen, the speed decreases to $500 \mathrm{m} {\mathrm{s}}^{-1}$. Determine the ratio of hydrogen and oxygen by volume in the mixture. Given density of oxygen is $16$ times that of hydrogen.

A tuning fork force generates a sound of frequency $f$ and resonates with the air column closed at one end by a tube of length $l$. If air column vibrates with its fundamental mode at temperature $T$, assuming $\gamma =\frac{C_p}{C_v}$ of air, find its molar mass.