Home
Class 12
PHYSICS
The remperature at which the rms speed o...

The remperature at which the `rms` speed of hydrogen molecules is equal to escape velocity on earth surface, will be

A

1060 K

B

5030 K

C

8270 K

D

10063 K

Text Solution

Verified by Experts

The correct Answer is:
D
`V_("rms") = V_(es)`
`sqrt((3RT)/((M_(0))_(H_(2)))) = 11.2 xx 10^(3) "m sec"^(-1)`
`T = ((11.2 xx 10^(3))^(2) (2 xx 10^(-3)))/(3 xx 8.3)`
= 10075 K
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 80

    NTA MOCK TESTS|Exercise PHYSICS |30 Videos

  • NTA TPC JEE MAIN TEST 93

    NTA MOCK TESTS|Exercise PHYSICS|30 Videos

Similar Questions

Explore conceptually related problems

At what absolute temperature T is the root mean square speed of a hydrogen molecule is equal to its escape velocity from the surface of the moon? The radius of moon is R, g is the acceleration due to gravity on moon’s surface, m is the mass of a hydrogen molecule and k is the Boltzmann constant

At what absolute temperature 'I', is 'rms' speed of a hydrogen molecule equal to its escape velocity from the surface of the moon? The radisuof moon is R,g is the acceleration due to gravity on moon's surface, m is the mass of a hydrogen molecule and k is the Boltzmann constant.

The temperature at which r.m.s. velocity of hydrogen molecules is equal that of oxygen at 100◦C is nearly

The temperature of H_(2) gas at which rms speed of H_(2) molecules is equal to escape speed of a particle from earth surface is :

The temperature at which rms velocity of helium molecules is equal to the rms velocity of hydrogen molecules at NTP is

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 –

Find the rms speed of hydrogen molecules at room temperature ( = 300 K) .

Nitrogen gas is at 300^(@) C temperature . The temperature ( in K) at which the rms speed of a H_(2) molecule would be equal to the rms speed of a nitrogen molecule is ,_________ .

Compute the temperature at which the rms speed is equal to the speed of escape from the surface of the earth for hydrogen and for oxygen. The temperature of the uper atmosphere is about 10000 K. Would you expect to find a lot of hydrogen there or a lot of oxygen ?

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 84-PHYSICS
  1. Two polaroids are crossed. If now one of them is rotated through 30^(@...

    Text Solution

    |

  2. The cathode of a photoelectric cell is changed such that the work func...

    Text Solution

    |

  3. A solenoid of radius R and length L has a current I = I​0 cosωt. The v...

    Text Solution

    |

  4. A rod of length L is hinged from one end. It is brought to a horizonta...

    Text Solution

    |

  5. The distance between two consecutive crests in a wave train produced i...

    Text Solution

    |

  6. A particle is executing SHM on a straight line starting from mean posi...

    Text Solution

    |

  7. The remperature at which the rms speed of hydrogen molecules is equal ...

    Text Solution

    |

  8. In the circuit below, A and B represents two inputs and C represents t...

    Text Solution

    |

  9. In X-ray tube , when the accelerating voltage V is halved, the differe...

    Text Solution

    |

  10. A ball is thrown upwards from the earth's surface with a speed 3ve, wh...

    Text Solution

    |

  11. The potential energy of a particle of mass 2 kg in SHM is (9x^(2))J. H...

    Text Solution

    |

  12. A Carnot engine has efficiency 25%. It operates between reservoirs of ...

    Text Solution

    |

  13. A horizontal ray is incident on one of the refracting faces of a prism...

    Text Solution

    |

  14. A long solenoid has 200 turns per cm and carries a current i. The magn...

    Text Solution

    |

  15. There is a small hole in a hollow sphere. When it is taken to a depth ...

    Text Solution

    |

  16. A solid rod is just fits between two walls having gap of 2m. If the te...

    Text Solution

    |

  17. A sphere of radius R have volume charge density given as: rho( r) = ...

    Text Solution

    |

  18. A massive platform of mass M is moving with speed v=6ms^(-1) At t = 0,...

    Text Solution

    |

  19. For infinite ladder network containing identical resistance of R Omega...

    Text Solution

    |

  20. The x- coordinate of a particle moving on x-axis is given by x = 3 sin...

    Text Solution

    |