Write Newton's equation for the speed of a sound wave in air.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Newton assumed that the propagation of sound waves in air is an isothermal process,meaning the temperature of the air remains constant during the compression and rarefaction cycles.
According to Newton,the speed of sound $v$ in a gas is given by the formula:
$v = \sqrt{\frac{P}{\rho}}$
Where:
$P$ is the pressure of the gas.
$\rho$ is the density of the gas.
This formula is known as Newton's formula for the speed of sound.

Explore More

Similar Questions

Regarding the speed of sound in a gas, match the following:
$A$. Temperature of gas is made $4$ times and pressure $2$ times$P$. Speed becomes $2\sqrt{2}$ times
$B$. Only pressure is made $4$ times without change in temperature$Q$. Speed becomes $2$ times
$C$. Only temperature is changed to $4$ times$R$. Speed remains unchanged
$D$. Molecular mass of the gas is made $4$ times$S$. Speed becomes half

$A$ source of sound $S$ having frequency $f$. Wind is blowing from source to observer $O$ with velocity $u$. If the speed of sound with respect to air is $C$,the wavelength of sound detected by $O$ is:

$A$ train, standing in a station-yard, blows a whistle of frequency $400\,Hz$ in still air. The wind starts blowing in the direction from the yard to the station with a speed of $10\,ms^{-1}$. What will be the frequency and speed of sound for an observer? (The speed of sound in still air is $340\,ms^{-1}$)

The velocities of sound at the same pressure in two monatomic gases of densities ${\rho _1}$ and ${\rho _2}$ are $v_1$ and $v_2$ respectively. If ${\rho _1}/{\rho _2} = 2$,then the value of $\frac{{{v_1}}}{{{v_2}}}$ is:

Which of the following statements is correct?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo