Home
Class 12
PHYSICS
Consider a thin uniform spherical layer ...

Consider a thin uniform spherical layer of mass M and radius R. The potential energy of gravitational interaction of matter forming this shell is :

A

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

B

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

C

`-(3)/(5)(GM^(2))/(R)`

D

`-(GM^(2))/(4R)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    DC PANDEY|Exercise Medical entrances gallery|37 Videos
  • INTERFERENCE AND DIFFRACTION OF LIGHT

    DC PANDEY|Exercise Level 2 Subjective|5 Videos

Similar Questions

Explore conceptually related problems

Consider a thin spherical shell of uniform density of mass M and radius R :

A particel of mass M is placed at the centre of a inform spherical shell of mass 2M and radius R. The gravitational potential on the surface of the shell is

A particle of mass m is placed at the centre of a unifrom spherical shell of mass 3 m and radius R The gravitational potential on the surface of the shell is .

A uniform metal sphere of radius R and mass m is surrounded by a thin uniform spherical shell of same mass and radius 4R . The centre of the shell C falls on the surface of the inner sphere. Find the gravitational fields at points A and B .

For a given uniform spherical shell of mass M and radius R find gravitational field at a distancer r from centre in following two cases (a) r ge R (b) r lt R .

A uniform metal sphere of radius a and mass M is surrounded by a thin uniform spherical shell of equal mass and redius 4a. The centre of the shell falls on the surface of the iner sphere

A small area is removed from a uniform spherical shell of mass M and radius R. Then the gravitatioinal field intensity near the hollow portion is

A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100 kg and radius 50 m. If the gravitational potential at a point, 25 m from the centre is V kg/m. The value of V is:

Find the proper potential energy of gravitational interaction of matter forming (a) a thin uniform spherical layer of mass m and radius R, (b) a uniform sphere of mass m and radius R(make use of the answer to Problem)

DC PANDEY-GRAVITATION-All Questions
  1. The magnitude of gravitational potential energy of the moon earth sys...

    Text Solution

    |

  2. Three uniform spheres each of mass m and diameter D are kept in such a...

    Text Solution

    |

  3. Consider a thin uniform spherical layer of mass M and radius R. The po...

    Text Solution

    |

  4. Figure shows the variation of energy with the orbit radius r of a sate...

    Text Solution

    |

  5. If the radius of the earth were increased by a factor of 2 keeping the...

    Text Solution

    |

  6. A satellite of mass m moves along an elliptical path arouned the eart...

    Text Solution

    |

  7. The period of revolution of an earth satellite close to surface of ear...

    Text Solution

    |

  8. The acceleration due to gravity on the moon is only one sixth that of ...

    Text Solution

    |

  9. The acceleration due to gravity near the surface of a planet of radius...

    Text Solution

    |

  10. A geo-stationary stellite orbits around the earth in a circular orbit ...

    Text Solution

    |

  11. A person brings a mass 2kg from A to B. The increase in kinetic energy...

    Text Solution

    |

  12. If the angular velocity of a planet about its own axis is halved, the ...

    Text Solution

    |

  13. A planet of mass m is the elliptical orbit about the sun (mlt ltM("sun...

    Text Solution

    |

  14. If the radius of the earth were to shrink by one percent its mass rema...

    Text Solution

    |

  15. If g is the acceleration due to gravity on the earth's surface, the ga...

    Text Solution

    |

  16. A simple pendulam has time period T(1) when on the earth's surface and...

    Text Solution

    |

  17. If the distance between the earth and the sun were half its present va...

    Text Solution

    |

  18. A satellite S is moving in an elliptical orbit around the earth. The m...

    Text Solution

    |

  19. Two identical spherical masses are kept at some distance. Potential en...

    Text Solution

    |

  20. A body of mass m is kept at a small height h above the ground. If the ...

    Text Solution

    |