Two monatomic ideal gases 1 and 2 of molecular masses $m_{1}$ and $m_{2}$ respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas 1 to gas 2 is given by

\frac{m_{1}}{m_{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sqrt{\frac{m_{1}}{m_{2}}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{m_{2}}{m_{1}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sqrt{\frac{m_{2}}{m_{1}}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $\sqrt{\frac{m_{2}}{m_{1}}}$
As $v = \sqrt{\frac{γ R T}{M}} ∴ \frac{v_{1}}{v_{2}} = \sqrt{\frac{m_{2}}{m_{1}}}$

Suggest Corrections

Similar questions

Q. Two monoatomic ideal gases 1 and 2 of molecular masses

m_{1}

and

m_{2}

respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas 1 to that in gas 2 is given by

Q. Two monatomic ideal gases

1

and

2

of molecular masses

m_{1}

and

m_{2}

respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas

1

to that in gas

2

is given by.

Q. Two monoatomic ideal gases 1 and 2 of molecular masses

m_{1}

and

m_{2}

respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas 1 to gas 2 is given by

If the molecular weight of two gases are $M_{1}$ and $M_{2}$ , then at a given tempreture the ratio of their root mean square velocity $v_{1}$ and $v_{2}$ will be

Two containers are at the same temperature. The first contains a gas with pressure $P_{1}$ , molecular mass $M_{1}$ and rms speed $v_{r m s_{1}}$ . The second contains gas with pressure $15 P_{1}$ , molecular mass $m_{2}$ , and average speed $V_{a v g 2} = 2.0 v_{r m s_{1}}$ . What is the ratio $m_{1} : m_{2}$ ?

Join BYJU'S Learning Program

Two monatomic ideal gases 1 and 2 of molecular masses m1 and m2 respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas 1 to gas 2 is given by

The correct option is D √m2m1As v=√γRTM∴v1v2=√m2m1

Two monatomic ideal gases 1 and 2 of molecular masses $m_{1}$ and $m_{2}$ respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas 1 to gas 2 is given by

The correct option is D $\sqrt{\frac{m_{2}}{m_{1}}}$
As $v = \sqrt{\frac{γ R T}{M}} ∴ \frac{v_{1}}{v_{2}} = \sqrt{\frac{m_{2}}{m_{1}}}$