Home
Class 11
PHYSICS
A shell of mass M and radius R has point...

A shell of mass M and radius R has point mass m placed at a distance r from its centre. The gravitational potential energy U(r) vs r will be

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C

Gravitational P.E=`mxx` gravitational potential
`U=mV`
so the graph of U will be same as that of `V` for a spherical shell.
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    A2Z|Exercise Motion Of Satellite|33 Videos
  • GRAVITATION

    A2Z|Exercise Problems Based On Mixed Concepts|29 Videos
  • GRAVITATION

    A2Z|Exercise Gravitational Field And Acceleration Due To Gravity|34 Videos
  • GENERAL KINEMATICS AND MOTION IN ONE DIMENSION

    A2Z|Exercise Chapter Test|30 Videos
  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

A shell of mass M and radius R has another point mass m placed at a distance r from its centre (r gt R) . The force of attraction between the shell and point mass is :

A mass m is placed at point P lies on the axis of a ring of mass M and radius R at a distance R from its centre. The gravitational force on mass M is

A point mass m is placed inside a spherical shell of radius R and mass M at a distance R/2 form the centre of the shell. The gravitational force exerted by the shell on the point mass is

Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the potential at the midpoint of the line joining the centres of the spheres is

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 .

Find the gravitational interaction energy of system consisting of a disc of mass M, radius R and a small mass m dituated at a distance x from disc centre on its axis as shown in figure.

A2Z-GRAVITATION-Gravitational Potential, Energyand Escape Velocity
  1. Let the minimum external work done in shifting a particle from centre ...

    Text Solution

    |

  2. The escape velocity form the centre of a unifrom ring of mass M and ra...

    Text Solution

    |

  3. A shell of mass M and radius R has point mass m placed at a distance r...

    Text Solution

    |

  4. A projectile is launched from the surface of earth with a velocity les...

    Text Solution

    |

  5. The gravitational potential energy of body of mass 'm' at the earth's ...

    Text Solution

    |

  6. A rocket is launched vertically from the surface of earth with an init...

    Text Solution

    |

  7. A body of mass m kg starts falling from a point 2R above the earth's s...

    Text Solution

    |

  8. Maximum height reached by a rocket fired with a speed equal to 50% of...

    Text Solution

    |

  9. The potential energy of interaction between the semi-circular ring of ...

    Text Solution

    |

  10. Two oppositely rotating satellities of same are launched in the same o...

    Text Solution

    |

  11. A body of mass m is lifted up from the surface of earth to a height th...

    Text Solution

    |

  12. Four particles each of mass m are kept at the four vertices of a squar...

    Text Solution

    |

  13. Four particles each of mass m are placed at the vertices of a square o...

    Text Solution

    |

  14. The change in the gravitational potential energy when a body of a mass...

    Text Solution

    |

  15. A particle of mass m is placed at the centre of a unifrom spherical sh...

    Text Solution

    |

  16. Two spheres each of mass M and radius R are separated by a distance of...

    Text Solution

    |

  17. The mass of the earth is 6xx10^(24)kg and that of the moon is 7.4xx10^...

    Text Solution

    |

  18. A particle of mass M is placed at the centre of a uniform spherical sh...

    Text Solution

    |

  19. The escape velocity of a body form the earth depends on (i) the mass...

    Text Solution

    |

  20. The escapoe speed of a body on the earth's surface is 11.2kms^(-1). A ...

    Text Solution

    |