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

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 ?

Text Solution

AI Generated Solution

To find the gravitational potential at a point situated at a distance \( \frac{a}{2} \) from the center of a spherical shell of mass \( M \) and radius \( a \), we can follow these steps: ### Step 1: Understand the Gravitational Potential The gravitational potential \( V \) at a distance \( r \) from a mass \( M \) is given by the formula: \[ V = -\frac{GM}{r} \] where \( G \) is the gravitational constant. ...
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    DC PANDEY|Exercise Solved Examples|16 Videos
  • GRAVITATION

    DC PANDEY|Exercise Miscellaneous Examples|8 Videos
  • GENERAL PHYSICS

    DC PANDEY|Exercise INTEGER_TYPE|2 Videos
  • KINEMATICS

    DC PANDEY|Exercise INTEGER_TYPE|11 Videos

Similar Questions

Explore conceptually related problems

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

A particle of mass M is at a distance a from surface of a thin spherical shell of equal mass and having radius a .

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

DC PANDEY-GRAVITATION-(C) Chapter Exercises
  1. A particle of mass M is placed at the centre of a spherical shell of s...

    Text Solution

    |

  2. Starting from the centre of the earth having radius R, the variation o...

    Text Solution

    |

  3. A satellite of mass m is orbiting the earth (of radius R) at a height ...

    Text Solution

    |

  4. At what height from the surface of earth the gravitation potential and...

    Text Solution

    |

  5. The ratio of escape velocity at earth (v(e)) to the escape velocity at...

    Text Solution

    |

  6. Kepler's third law states that square of period revolution (T) of a pl...

    Text Solution

    |

  7. The reading of a spring balance corresponds to 100 N while situated at...

    Text Solution

    |

  8. The gravitational field due to an uniform solid sphere of mass M and r...

    Text Solution

    |

  9. What would be the value of acceleration due to gravity at a point 5 km...

    Text Solution

    |

  10. Two particles of equal mass (m) each move in a circle of radius (r) un...

    Text Solution

    |

  11. What would be the escape velocity from the moon, it the mass of the mo...

    Text Solution

    |

  12. Two spheres of masses 16 kg and 4 kg are separated by a distance 30 m ...

    Text Solution

    |

  13. Orbital velocity of an artificial satellite does not depend upon

    Text Solution

    |

  14. Gravitational potential energy of body of mass m at a height of h abov...

    Text Solution

    |

  15. According to Kepler's law of planetary motion, if T represents time pe...

    Text Solution

    |

  16. If mass of a body is M on the earth surface, then the mass of the same...

    Text Solution

    |

  17. Two spherical bodies of masses m and 5m and radii R and 2R respectivel...

    Text Solution

    |

  18. The force of gravitation is

    Text Solution

    |

  19. Dependence of intensity of gravitational field (E) of earth with dista...

    Text Solution

    |

  20. Keeping the mass of the earth as constant, if its radius is reduced to...

    Text Solution

    |

  21. A body of mass m is raised to a height 10 R from the surface of the ea...

    Text Solution

    |