Home
Class 11
PHYSICS
A particle of mass M is situated at the ...

A particle of mass M is situated at the centre of a spherical shell of same mass and radius 'a'. The gravitational potential at a point situated at `(a)/(2)` distance from the centre, will be

A

`(4GM)/a`

B

`(GM)/a`

C

`(2GM)/a`

D

`(3GM)/a`

Text Solution

Verified by Experts

The correct Answer is:
D
`V=(-GM)/a+((-GM))/(a//2)`
`=(-3GM)/a`
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

A particle of mass M is placed at the centre of a uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance a/2 from the centre.

A particle of mass M is placed at the centre of a spherical shell of same mass and radius a. What will be the magnitude of the gravitational potential at a point situated at a/2 distance from the centre ?

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 .

P is a point at a distance r from the centre of a spherical shell of mass M and radius a, where r lt a . The gravitational potential at P is

A body of mass m is placed at the centre of the spherical shell of radius R and mass M. The gravitation potential on the surface of the shell is

A particle of mass m is located inside a spherical shell of mass M and radius R. The gravitational force of attraction between them is

A block of mass m is lying at a distance r from a spherical shell of mass m and radius r, then :

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:

A hollow spherical shell is compressed to half its radius. The gravitational potential at the centre

ERRORLESS-GRAVITATION-NCERT BASED QUESTIONS (Gravitation Potential, Energy and Escape Velocity)
  1. Two small and heavy spheres, each of mass M, are placed a distance r a...

    Text Solution

    |

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

    Text Solution

    |

  3. A particle of mass M is situated at the centre of a spherical shell of...

    Text Solution

    |

  4. The diagram showing the variation of gravitational potential of earth ...

    Text Solution

    |

  5. By which curve will the variation of gravitational potential of a holl...

    Text Solution

    |

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

    Text Solution

    |

  7. A point particle of mass 0.5 kg is moving along the x-axis under a for...

    Text Solution

    |

  8. If mass of the earth is M, radius is R, and gravitational constant is ...

    Text Solution

    |

  9. The gravitational potential energy of a body of mass ‘ m ’ at the eart...

    Text Solution

    |

  10. A body is orbiting very close to the earth surface kinetic energy K.E....

    Text Solution

    |

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

    Text Solution

    |

  12. A particle of mass 10g is kept on the surface of a uniform sphere of m...

    Text Solution

    |

  13. Find the potential energy of 4-particles, each of mass 1 kg placed at ...

    Text Solution

    |

  14. An artificial satellite moving in a circular orbit around the earth ha...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. A body of mass m is taken from earth surface to the height h equal to ...

    Text Solution

    |

  18. The curves for potential energy ( U ) and kinetic energy (E(k)) of a t...

    Text Solution

    |

  19. A rocket is fired from inside a deep mine, so as to escape the earth’s...

    Text Solution

    |

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

    Text Solution

    |