Home
Class 12
PHYSICS
N (lt 100) molecules of a gas have veloc...

`N (lt 100)` molecules of a gas have velocities 1,2,3….N km/s respectively. Then

A

rms speed and average speed of molecules is same

B

ratio of rms speed to average speed is `sqrt()(2N+1) (N+1) //6N`

C

ratio of rms speed to average speed is `sqrt() (2N+1) (N+1) //6N`

D

ratio of rms speed to average speed of a `2// sqrt()6 x ssqrt() (2N+1) (N+1)` molecules is

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HEAT-2

    MOTION|Exercise EXERCISE-2 (LEVEL-I)|24 Videos

  • HEAT-2

    MOTION|Exercise EXERCISE-2 (LEVEL-II)|13 Videos

  • HEAT-2

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|30 Videos

  • HEAT TRANSFER & THERMAL EXPANSION

    MOTION|Exercise Exercise - 3 Section-B|19 Videos

  • HYDROSTATIC, FLUID MECHANICS & VISCOSITY

    MOTION|Exercise EXERCISE -3 (SECTION-B) PREVIOUS YEAR PROBLEM|7 Videos

Similar Questions

Explore conceptually related problems

N molecules of a gas have speeds 1,2,3....Nm/s respectively.The ratio of rms speed to average speed is

Four molecules of a gas have velocity 2, 4, 6 and 8 kms^(-1) , respectively. The ratio of their root mean velocity and average speed is :

Four molecules of a gas have speed 1, 2, 3 and 4 km s^(-1) respectively. The value of rms speed of the molecules is (in km s^(-1) )

Four molecules of a gas have speeds of 1, 2, 3, 4 cm s^(-1) respectively. The root mean square velocity is

If three gas molecules have velocity 0.5, 1 and 2 km//s respectively, find the ratio of their root mean square speed and average speed.

Four molecules of a gas have speeds 2, 4, 6 and 8 kms^(-1) respectively. Calculate their average speed and root mean square speed.

The Velocity of four gas molecules are given by 1 km/s, 2 km/s, 6 km/s and 8 km/s respectively. The rms velocity is

MOTION-HEAT-2 -EXERCISE-1
  1. The rms speed of oxygen molecules in a gas is Delta. If the temperatur...

    Text Solution

    |

  2. Three closed vessels A, B and C are at the same temperature T and cont...

    Text Solution

    |

  3. N (lt 100) molecules of a gas have velocities 1,2,3….N km/s respective...

    Text Solution

    |

  4. In a cubical box of volume V, there are N molecules of a gas moving ra...

    Text Solution

    |

  5. Gas exerts pressure on the walls of the container because the molecule...

    Text Solution

    |

  6. Degrees of freedom of hydrogen and ozone gases will be respectively

    Text Solution

    |

  7. A vessel contains a mixture of one mole of oxygen and two moles of nit...

    Text Solution

    |

  8. The average momentum of a molecule in a sample of an ideal gas depends...

    Text Solution

    |

  9. If velocities of 5 molecules of certain gas are –7, 5, 4, –3 and 1 m/s...

    Text Solution

    |

  10. The molecular weight of O(2) and H(2) are 32 and 2 respectively. Then ...

    Text Solution

    |

  11. If the rms speed of the nitrogen molecules of the gas at room temperat...

    Text Solution

    |

  12. When unit mass of water boils to become steam at 100^(@)C, it absorbs ...

    Text Solution

    |

  13. 1 kg of a gas does 20 kJ of work and receives 16 kJ of heat when it is...

    Text Solution

    |

  14. An ideal system can be brought from stage A to B through four paths as...

    Text Solution

    |

  15. A system is given 400 calories of heat and 1000 Joule of work is done ...

    Text Solution

    |

  16. For a thermodynamic process delta Q=- 50 calorie and W =-20 calorie. I...

    Text Solution

    |

  17. One mole of an ideal gas at temperature T(1) expends according to the ...

    Text Solution

    |

  18. One mole of an ideal diatomic gas is taken through the cycle as shown ...

    Text Solution

    |

  19. When a system is taken from state 'a' to state 'b' along the path 'acd...

    Text Solution

    |

  20. In the above question, if the work done on the system along the curved...

    Text Solution

    |