The velocity of sound measured at a given tem | vedclass

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

Question

(A) The velocity of sound in a gaseous medium is given by the formula:$v = \sqrt{\frac{\gamma RT}{M}}$Since the temperature $T$ and the adiabatic inde

Vedclass · Accepted Answer

$1:4$

Vedclass · Answer

(A) The velocity of sound in a gaseous medium is given by the formula:$v = \sqrt{\frac{\gamma RT}{M}}$Since the temperature $T$ and the adiabatic index $\gamma$ are constant for the given conditions,the velocity is inversely proportional to the square root of the molar mass $M$:$v \propto \frac{1}{\sqrt{M}}$Therefore,the ratio of the velocity of sound in oxygen $(v_{O_2})$ to that in hydrogen $(v_{H_2})$ is:$\frac{v_{O_2}}{v_{H_2}} = \sqrt{\frac{M_{H_2}}{M_{O_2}}}$The molar mass of hydrogen $(H_2)$ is $2 	ext{ g/mol}$ and the molar mass of oxygen $(O_2)$ is $32 	ext{ g/mol}$.$\frac{v_{O_2}}{v_{H_2}} = \sqrt{\frac{2}{32}} = \sqrt{\frac{1}{16}} = \frac{1}{4}$Thus,the ratio is $1:4$.

The velocity of sound measured at a given temperature in oxygen and hydrogen is in the ratio of:

Similar Questions

The ratio of the speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is

$Assertion :$ The base of Laplace correction was that exchange of heat between the region of compression and rarefaction in air is negligible.
$Reason :$ Air is a bad conductor of heat and the velocity of sound in air is quite large.

Which of the following statements is $NOT$ true?

$A$ sound is produced by plucking a string in a musical instrument,then

Ultrasonic waves are those waves

Vedclass Test Series

Exam Paper Generator

Online Exam Module