Home
Class 11
PHYSICS
The ratio of r.m.s speed to the r.m.s an...

The ratio of r.m.s speed to the r.m.s angular speed of a diatomic gas at certain temperature is (assume m =mass of one molecule, M=molecular mass, I=moment of inertia of the molecules )

A

`sqrt(3/2)`

B

`sqrt((3I)/(2M))`

C

`sqrt((3I)/(2m))`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
`1/2 mV^(2)=3/2 kT`, `1/2 I omega^(2)=2/2 kT` ,`V/(omega)=sqrt((3I)/(2m))`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    RESONANCE|Exercise Exercise|65 Videos

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise SUBJECTIVE QUESTIONS|27 Videos

Similar Questions

Explore conceptually related problems

The ratio of average speed of an oxygen molecule to the r.m.s. speed of a N_(2) molecule at the same temperature is :

What will be the r.m.s. speed of a gas at 800^(@)K ?

The rms speed of oxygen molecules at a certain temeperature is 400 m/s . What is the rms speed of nitrogen molecules at the same temperature ?

The r.m.s. velocity of a gas at a certain temperature is sqrt(2) times than that of the oxygen molecules at that temperature. The gas can be

At what temperature is the r.m.s velocity of a hydrogen molecule equal to that of an oxygen molecule at 24^@C ?

If the rms speed of the nitrogen molecules of the gas at room temperature is 500 m/s, then the rms speed of the hydrogen molecules at the same temperature will be –

A sample of gas is at 0∘C .The temperature it must be raised to,in order to double the r.m.s speed of the molecule is

The root mean spuare (rms) speed of hydrogen molecules at a certain temperature is 300m/s. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen the rms speed will become

The ratio of the R.M.S.Velocities of Hydrogen and oxygen molecules at the same temperature is.

The r.m.s speed of the molecules of an ideal gas Is V_0 If pressure of the gas is halved but temperature is kept constant then r.m.s. speed of the gas molecule will be

Knowledge Check

  • The ratio of average speed of an oxygen molecule to the r.m.s. speed of a N_(2) molecule at the same temperature is :

    A
    `((3pi)/(7))^(1//2)`
    B
    `((7)/(3pi))^(1//2)`
    C
    `((3)/(7pi))^(1//2)`
    D
    `((7pi)/(3))^(1/2)`

  • What will be the r.m.s. speed of a gas at 800^(@)K ?

    A
    Four times the value of 200 K
    B
    Half the value at 200 K
    C
    Twice the value at 200 K
    D
    Same as at 200 K

  • At what temperature is the r.m.s velocity of a hydrogen molecule equal to that of an oxygen molecule at 24^@C ?

    A
    `80K`
    B
    `-73K`
    C
    `3K`
    D
    `20K`
    • RESONANCE-KINETIC THEORY OF GASES AND THERMODYNAMICS-Exercise
    1. The ratio of r.m.s speed to the r.m.s angular speed of a diatomic gas ...

      Text Solution

      |

    2. Four particles have velocities 1, 0,2, and 3 m//s. The root mean squar...

      Text Solution

      |

    3. 12 gm He and 4 gm H(2) is filled in a container of volume 20 litre mai...

      Text Solution

      |

    4. Which of the following will have maximum total kinetic energy at tempe...

      Text Solution

      |

    5. A certain gas is taken to the five states representes by dots in the g...

      Text Solution

      |

    6. If eta=50% of oxygen gas kept in an adiabatic rigid container gets con...

      Text Solution

      |

    7. n moles of a gas are filled in a container at temperature T. If the ga...

      Text Solution

      |

    8. In a process, the pressure of an ideal gas is proportional to square o...

      Text Solution

      |

    9. A vessel contains an ideal monoatomic gas which expands at constant pr...

      Text Solution

      |

    10. In a process, the pressure of an ideal gas is proportional to square o...

      Text Solution

      |

    11. P - T diagram is shown in Fig. Choose the corresponding V - T diagram.

      Text Solution

      |

    12. A mixture of ideal gasses N(2) and He are taken in the mass ratio 14:1...

      Text Solution

      |

    13. The gas equation PV//T = constant is true for a constant mass of an id...

      Text Solution

      |

    14. DeltaU=0 in a noncylic process of an ideal gas. The process

      Text Solution

      |

    15. In an adiabatic expansion the product of pressure and volume :

      Text Solution

      |

    16. For an adiabatic process graph between PV & V for a sample of ideal ga...

      Text Solution

      |

    17. S(1): "All collisions between the molecules of the gas and walls of co...

      Text Solution

      |

    18. One mole of a mono-atomic ideal gas is mixed with one mole of a diatom...

      Text Solution

      |

    19. Hydrogen gas and oxygen gas have volume 1 cm^(3) each at N.T.P. select...

      Text Solution

      |

    20. Heat is supplied to a certain homogeneous sample of matter, at a unifo...

      Text Solution

      |