What will be the shape of the graph of the sp | vedclass

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

Question

(C) The speed of sound in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$.Since density $\rho = \frac{M}{V}$ and for an ideal gas $PV

Vedclass · Accepted Answer

$A$ straight line parallel to the pressure axis

Vedclass · Answer

(C) The speed of sound in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$.Since density $\rho = \frac{M}{V}$ and for an ideal gas $PV = nRT$,we have $\frac{P}{\rho} = \frac{RT}{M}$.Substituting this into the speed formula,we get $v = \sqrt{\frac{\gamma RT}{M}}$.At a constant temperature $T$,the speed of sound $v$ depends only on the gas properties $(\gamma, M)$ and temperature $T$.Therefore,the speed of sound is independent of pressure $P$.Thus,the graph of speed versus pressure is a straight line parallel to the pressure axis.

What will be the shape of the graph of the speed of sound in air versus pressure at a constant temperature?

Similar Questions

The temperature at which the speed of sound in air becomes double of its value at $0^oC$ is ...... $K$.

When sound waves travel from air to water,which of the following remains constant?

When a tuning fork vibrates,the waves produced in the fork are

$A$ source of sound of frequency $600 Hz$ is placed inside water. The speed of sound in water is $1500 m/s$ and in air is $300 m/s.$ The frequency of sound recorded by an observer who is standing in air is .... $Hz$

The ratio of the velocity of sound in hydrogen gas $(\gamma = 7/5)$ to that in helium gas $(\gamma = 5/3)$ at the same temperature will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module