Home
Class 11
PHYSICS
The angular velocity of rotation of star...

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

A

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

B

`sqrt((2GM)/g)`

C

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

D

`sqrt((2GR)/M)`

Text Solution

Verified by Experts

The correct Answer is:
C
`omega=(v_e)/R=1/Rsqrt((2GM)/R)=sqrt((2GM)/(R^3))`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Motion of Satellite)|46 Videos

  • GRAVITATION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Kepler’s Laws of Planetary Motion)|27 Videos

  • GRAVITATION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Acceleration Due to Gravity)|39 Videos

  • FRICTION

    ERRORLESS|Exercise ASSERTION & REASON |8 Videos

  • KINETIC THEORY OF GASES

    ERRORLESS|Exercise ASSERTION AND REASON |16 Videos

Similar Questions

Explore conceptually related problems

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

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

If R is the radius of gyration of a body of mass M and radius r , then the ratio of its rotational to translational kinetic energy in the rolling condition is

An extremely small and dense neutron star of mass M and radius R is rotating with angular velocity omega . If an object is placed at its equator, then it will remain stuck to it due to gravity, if

A uniform disc of mass M and radius R is rotating in a horizontal plane about an axis perpendicular to its plane with an angular velocity omega . Another disc of mass M/3 and radius R/2 is placed gently on the first disc coaxial. Then final angular velocity of the system is

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

A disc of mass 2 kg and radius 0.2 m is rotating about an axis passing through its centre and perpendicular to its plane with an angular velocity 50 rad/s . Another disc of mass 4 kg and radius 0.1m rotates about an axis passing through its centre and perpendicular to its plane with angular velocity 100 rad/s. If the two disc are coaxially coupled, then the angular velocity of coupled system would be

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

ERRORLESS-GRAVITATION-NCERT BASED QUESTIONS (Gravitation Potential, Energy and Escape Velocity)
  1. A rocket is fired from inside a deep mine, so as to escape the earth’s...

    Text Solution

    |

  2. A particle falls towards the earth from inifinity. The velocity with w...

    Text Solution

    |

  3. The escape velocity for a rocket from earth is 11.2 km / sec . Its val...

    Text Solution

    |

  4. An artificial satellite moving in a circular orbit around the earth wi...

    Text Solution

    |

  5. The escape velocity of a planet having mass 6 times and radius 2 times...

    Text Solution

    |

  6. There are two planets. The ratio of radius of two planets is k but rat...

    Text Solution

    |

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

    Text Solution

    |

  8. The angular velocity of rotation of star (of mass M and radius R ) at ...

    Text Solution

    |

  9. The earth is assumed to be a sphere of raduis R. A platform is arrange...

    Text Solution

    |

  10. The escape speed of a particle on the surface of the earth is 11.2km/s...

    Text Solution

    |

  11. Escape velocity on the earth

    Text Solution

    |

  12. The escape velocity for a body projected vertically upwards from the s...

    Text Solution

    |

  13. The ratio of the radii of planets A and B is k(1) and ratio of acceler...

    Text Solution

    |

  14. A mass of 6xx10^(24) kg is to be compressed in a sphere in such a way ...

    Text Solution

    |

  15. The escape velocity for the earth is v(e). The escape velocity for a p...

    Text Solution

    |

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

    Text Solution

    |

  17. The escape velocity from the earth is 11 km//s. The escape velocity fr...

    Text Solution

    |

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

    Text Solution

    |

  19. An object is propelled vertically to a maximum height of 4R from the s...

    Text Solution

    |

  20. Escape velocity of a body 1 kg mass on a planet is 100 ms^(-1). Gravit...

    Text Solution

    |