Home
Class 11
PHYSICS
Two monoatomic ideal gases 1 and 2 of mo...

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 of sound in gas `1` to that in gas `2` is given by

A

`sqrt((m_(1))/(m_(2)))`

B

`sqrt((m_(2))/(m_(1)))`

C

`(m_(1))/(m_(2))`

D

`(m_(2))/(m_(1))`

Text Solution

Verified by Experts

The correct Answer is:
B
Speed of sound in a gas given by
`v=sqrt((gammaRT)/M)`
`v prop 1/(sqrt(M))`
`:. (v_(1))/(v_(2))=sqrt((M_(2))/(M_(1)))=sqrt((m_(2))/(m_(1))`
Here `gamma=(C_(p))/(C_(v))=5/3` for both the gases `(gamma_("monoatomic")=5/3)`
Promotional Banner

Topper's Solved these Questions

  • SOUND WAVES

    RESONANCE|Exercise Solved Examples|24 Videos

  • SOUND WAVES

    RESONANCE|Exercise Board Level Exercise|33 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Exercise|28 Videos

  • STRING WAVES

    RESONANCE|Exercise Exercise|32 Videos

Similar Questions

Explore conceptually related problems

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 :-

Two monatomic ideal gases 1 and 2 of molecular masses m_(1) and m_(2) repectively are enclosed in separate containers kept at the same temprature. The ratio of the of sound in gas 1 to that in gas 2 is given by

Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2:3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is 4:3. The ratio of their densities is

Two non-reactive monoatomic ideal gases have their atomic masses in the ratio (2 : 3) . The ratio of their partial pressure, when enclosed in a vessel kept at a constant temperature, is (4 : 3) . The ratio of their densities is :

Two separate bulbs contain ideal gas A and B . The density of a gas A is twice that of a gas B . The molecular mass of A is half that of gas B . The two gases are at the same temperature. The ratio of the pressure of A to that gas B is

The velocity of sound in an ideal gas at temperature T_1 and T_2 K are v_1 and v_2 respectively. If the root mean square velocity of the same gas at same temperature are c_1 and c_2 then-