Home
Class 11
PHYSICS
For gas at a temperature T the root-mean...

For gas at a temperature `T` the root-mean-square speed `v_(rms)`, the most probable speed `v_(mp)`, and the average speed `v_(av)` obey the relationship

A

`v_(av)gtv_(rms)gtv_(mp)`

B

`v_(rms)gtv_(av)gtv_(mp)`

C

`v_(mp)gtv_(av)gtv_(rms)`

D

`v_(mp)gtv_(rms)gtv_(av)`

Text Solution

Verified by Experts

The correct Answer is:
B
As `v_(rms) = sqrt((3RT)/(M)) , v_(avg) = sqrt((8RT)/(pi M))`
`v_(mp) = sqrt((2RT)/M)`, Hence `v_(rms) gt v_(avg) gt v_(mp)`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    ERRORLESS|Exercise ASSERTION AND REASON |16 Videos

  • KINETIC THEORY OF GASES

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Pressure and Energy)|31 Videos

  • GRAVITATION

    ERRORLESS|Exercise Assertion and Reason |25 Videos

  • MOTION IN ONE DIMENSION

    ERRORLESS|Exercise ASSERTION AND REASON|24 Videos

Similar Questions

Explore conceptually related problems

What is the ratio of root mean square speed and most probable speed?

Identify the correct labels of A, B and C in the following graph from the options given below: Root mean square speed (V_("rms"), most probable speed (V_("mp") , Average speed (V_("av"))

Suppose a container is evacuated to leave just one molecule of a gas in it. Let v_(mp) and v_(av) represent the most probable speed and the average speed of the gas, then

Calculate the temperature at which the root mean square speed, average speed and most probable speed of oxygen gas are all equal to 1500 m s^(-1)

The relation between rms velocity, v_(rms) and the most probable velocity, v_(mp) , of a gas is

Most probable speed, average speed and RMS speed are related as -

Which of the following relationships is valid for the root mean square speed (u_("rms")) , average speed (u_(av)) , and the most probable speed (u_("mp")) ?

ERRORLESS-KINETIC THEORY OF GASES -PAST YEARS QUESTIONS
  1. According to the kinetic theory of gases, at absolute temperature

    Text Solution

    |

  2. Gas at a pressure P(0) in contained as a vessel. If the masses of all ...

    Text Solution

    |

  3. At constant volume, temperature is increased. Then

    Text Solution

    |

  4. For gas at a temperature T the root-mean-square speed v(rms), the most...

    Text Solution

    |

  5. At what temperature will the rms speed of oxygen molecules become just...

    Text Solution

    |

  6. Increase in temperature of a gas filled in a container would lead to :

    Text Solution

    |

  7. One mole of an ideal diatomic gas undergoes a transition from A to B a...

    Text Solution

    |

  8. The amount of heat energy required to raise the temperature of 1 g of ...

    Text Solution

    |

  9. The molar specific heats of an ideal gas at constant pressure and volu...

    Text Solution

    |

  10. A gas mixture consists of 2 moles of oxygen and 4 moles of argon at te...

    Text Solution

    |

  11. The ratio of the specific heats C(p)/C(v)=gamma in terms of degrees of...

    Text Solution

    |

  12. When an ideal monoatomic gas is heated at constant pressure, fraction ...

    Text Solution

    |

  13. One mole of an ideal monatomic gas undergoes a process described by th...

    Text Solution

    |

  14. In kinetic theory of gases, a molecule of mass m of an ideal gas colli...

    Text Solution

    |

  15. The average kinetic energy of H(2) molecules at 300 K is E at the same...

    Text Solution

    |

  16. The volume (V) of a monatomic gas varies with its temperature (T) as s...

    Text Solution

    |

  17. A cylinder contains hydrogen gas at pressure of 249 kPa and temperatur...

    Text Solution

    |

  18. The mean free path for gas with molecular diameter d and number densit...

    Text Solution

    |

  19. The average thermal energy for a mono-atomic gas is: (kB is Boltzmann ...

    Text Solution

    |

  20. Match Column-I and Column-ll and choose the correct match from the giv...

    Text Solution

    |