If V_m is the velocity of sound in moist air | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The velocity of sound in a gas is given by the formula $V = \sqrt{\frac{\gamma P}{\rho}}$,where $\gamma$ is the adiabatic index,$P$ is the pressur

Vedclass · Accepted Answer

$V_m > V_d$

Vedclass · Answer

(A) The velocity of sound in a gas is given by the formula $V = \sqrt{\frac{\gamma P}{\rho}}$,where $\gamma$ is the adiabatic index,$P$ is the pressure,and $\rho$ is the density of the gas.Under identical conditions of pressure and temperature,the velocity of sound is inversely proportional to the square root of the density of the medium: $V \propto \frac{1}{\sqrt{\rho}}$.Moist air contains water vapor,which has a lower molecular mass compared to the nitrogen and oxygen molecules that make up dry air. Therefore,the density of moist air is less than the density of dry air $(\rho_m Since the density of moist air is lower,the velocity of sound in moist air must be greater than the velocity of sound in dry air $(V_m > V_d)$.

If $V_m$ is the velocity of sound in moist air and $V_d$ is the velocity of sound in dry air,under identical conditions of pressure and temperature,which of the following is true?

Similar Questions

$A$ steel rod of length $100 \, cm$ is clamped at the middle. The frequency of the fundamental mode for the longitudinal vibrations of the rod is ..... $kHz$ (Speed of sound in steel $= 5 \, km \, s^{-1}$)

$A$ nuclear bomb exploded $200 \,km$ above the surface of the moon. The sound of the explosion on the moon

Which of the following is not a transverse wave?

What is the ratio of the speed of sound in nitrogen gas to that in helium gas at the same temperature of $300 \, K$?

The figure represents the instantaneous picture of a longitudinal harmonic wave travelling along the negative $x$-axis. Identify the correct statement$(s)$ related to the movement of the points shown in the figure. The points of maximum rarefaction are

Vedclass Test Series

Exam Paper Generator

Online Exam Module