Home
Class 12
PHYSICS
The escape velocity corresponding to a p...

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

24 km/s

B

3 km/s

C

6 km/s

D

4 km/s

Text Solution

Verified by Experts

The correct Answer is:
b
`(v_(e_(2)))/(v_(e_(1)))=(R_(2))/(R_(1))sqrt((rho_(2))/(rho_(1)))=(1)/(4)`
`v_(e_(2))=(v_(e_(1)))/(4)=(12)/(4)=3km//s.`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    NIKITA PUBLICATION|Exercise Multiple Choice Questions|458 Videos

  • INTERFERENCE AND DIFFRACTION

    NIKITA PUBLICATION|Exercise MULTPLE CHOICE QUESTIONS|333 Videos

Similar Questions

Explore conceptually related problems

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

The escape velocity of a planet having mass 6 times and radius 2 times as those of the earth is

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 on the surface of the earth is 11.2 kms^(-1) . If mass and radius of a planet is 4 and 2 tims respectively than that of the earth, what is the escape velocity from the planet?

Determine the escape velocity of a planet with mass 3xx10^(25)"kg and radius" 9xx10^(6)m.

Two satellites of mass M_A and M_B are revolving around a planet of mass M in radius R_A and R_B respectively. Then?

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

If M_(e ) and R_(e ) be the mass and radius of earth, then the escape velocity will be _________.

NIKITA PUBLICATION-GRAVITATION-Multiple Choice Questions
  1. The escape velocity of the earth is 11.2 km/s. For a planet whose mass...

    Text Solution

    |

  2. A satellite orbiting close to earth surface will escape, if

    Text Solution

    |

  3. The escape velocity corresponding to a planet of mass M and radius R i...

    Text Solution

    |

  4. The escape Velocity from the earth is 11.2 Km//s. The escape Velocity ...

    Text Solution

    |

  5. If the acceleration due to gravity at the surface of the earth is g, t...

    Text Solution

    |

  6. A projectile is fired from the surface of earth of radius R with a vel...

    Text Solution

    |

  7. The escape velocity from the surface of the earth of radius R and dens...

    Text Solution

    |

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

    Text Solution

    |

  9. The escape velocity of a body from the earth is V(e). The escape veloc...

    Text Solution

    |

  10. The radius of the earth is reduced by 1% with mass remaining the same....

    Text Solution

    |

  11. If M be the mass of the earth, R its radius (assumed spherical) and G ...

    Text Solution

    |

  12. An artificial satellite is moving in a circular orbit around the earth...

    Text Solution

    |

  13. A body is projected vertically upwards from the surface of the earth w...

    Text Solution

    |

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

    Text Solution

    |

  15. The escape velocity from the earth is about 11 km/s. The escape veloci...

    Text Solution

    |

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

    Text Solution

    |

  17. The escape velocity for the earth is 11.2 km / sec . The mass of anoth...

    Text Solution

    |

  18. For a satellite escape velocity is 11 km/s . If the satellite is launc...

    Text Solution

    |

  19. The escape velocity on the surface of the earth is 11.2 kms^(-1). If m...

    Text Solution

    |

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

    Text Solution

    |