Home
Class 12
PHYSICS
The angular velocity of rotation of a pl...

The angular velocity of rotation of a planet of mass M and radius R, at which the matter start to escape from its equator is

A

`sqrt((2GR)/M)`

B

`sqrt((2GM)/(R^3))`

C

`sqrt((2GM)/R)`

D

`sqrt((2GM^2)/R)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|24 Videos

  • GRAVITATION

    TARGET PUBLICATION|Exercise CRITICAL THINKING|78 Videos

  • ELECTROSTATICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • INTERFERENCE AND DIFFRACTION

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

Similar Questions

Explore conceptually related problems

The angular velocity of rotation of star (of mass M and radius R ) at which the matter start to escape from its equator will be

If v_(e) is the escape velocity of a body from a planet of mass 'M' and radius 'R . Then the velocity of the satellite revolving at height 'h' from the surface of the planet will be

The escape velocity form the centre of a unifrom ring of mass M and radius R is :

The escape velocity of the earth is 11.2 km/s. For a planet whose mass and radius are twice those of the earth, the escape velocity will be

Planet A has a mass and radius twice that of Planet B. The escape velocity from Planet A is

The escape velocity corresponding to a planet of mass M and radius R is 50 km s^(-1) . If the planet's mass and radius were 4M and R , respectively, then the corresponding escape velocity would be

A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is :

The escape velocity from the surface of earth is V_(e) . The escape velocity from the surface of a planet whose mass and radius are 3 times those of the earth will be

The escape velocity from the surface of the earth is V_(e) . The escape velcotiy from the surface of a planet whose mass and radius are three times those of the earth, will be

TARGET PUBLICATION-GRAVITATION-COMPETITIVE THINKING
  1. Gas escaps from the surface of a planet because it acquires an escape ...

    Text Solution

    |

  2. The escape velocity of a particle of mass m varies as

    Text Solution

    |

  3. The angular velocity of rotation of a planet of mass M and radius R, a...

    Text Solution

    |

  4. Escape velocity on a planet is e v . If radius of the planet remains s...

    Text Solution

    |

  5. The escape velocity from the surface of earth is V(e). The escape velo...

    Text Solution

    |

  6. The escape velocities of the two planets, of densities rho1 and rho2 a...

    Text Solution

    |

  7. The ratio of escape velocity at earth (v(e)) to the escape velocity at...

    Text Solution

    |

  8. A satellite is revolving in a circular orbit at a height 'h' from the ...

    Text Solution

    |

  9. A satellite is moving with a constant speed 'V' in a circular orbit ab...

    Text Solution

    |

  10. Given mass of the moon is 1/81 of the mass of the earth and correspond...

    Text Solution

    |

  11. Two satellites A and B are rotating in same orbit. The ratio of their ...

    Text Solution

    |

  12. The escape velocity of a body on an imaginary planet which is thrice t...

    Text Solution

    |

  13. A body is projected vertically upwards from the surface of a planet of...

    Text Solution

    |

  14. A black hole is an object whose gravitational field is so strong that ...

    Text Solution

    |

  15. The radius of a planet is 1/4 of earth’s radius and its acceleration d...

    Text Solution

    |

  16. A space station is at a height equal to the radius of the Earth. If VE...

    Text Solution

    |

  17. A satelite is revolving in a circular orbit at a height h above the su...

    Text Solution

    |

  18. Find the change in the gravitational potential energy when a body of m...

    Text Solution

    |

  19. Energy required to move a body of mass m from an orbit of radius 2R to...

    Text Solution

    |

  20. If g is the acceleration due to gravity on earth's surface, the gain o...

    Text Solution

    |