Home
Class 12
PHYSICS
Three uniform spheres each of mass m and...

Three uniform spheres each of mass `m` and diameter `D` are kept in such a way that each touches the other two, then magnitudes of the gravitational force on any one sphere due to the other two is

A

`(sqrt(3))/(4)(GM^(2))/(R^(2))`

B

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

C

`(sqrt(3)GM^(2))/(R^(2))`

D

`(sqrt(3))/(2)(GM^(2))/(R^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Thee uniform spheres each having a mass M and raius a are kept in such a way that each touches the other two. Find the magnitude of the gravitational force on any of the spheres due to the other two.

Three uniform spheres, each having a mass M=5kg and radius a=2.5m are kept in such a way that each touches the other two. Find the magnitude of the gravitational force in GN on any of the spheres due to the other two.

Three uniform spheres, A, B and C each of mass M and radius R are kept in such a way that each sphere touches the other two. What is the magnitude of the gravitational force acting on A due to B and C ?

Three identical spheres, each having a charge q and radius R. are kept in such a way that each touches the other two. The magnitude of the electric force on any sphere due to the other two is

Two metal spheres each of radius r are kept in contact with each other. If d is the density of the material of the sphere,then the gravitational force between those spheres is proportional to

Three equal circles each of diameter d are drawn on a plane in such a way that each circle touches the other two circles. A big circle is drawn in such a manner that it touches each of the small circles internally. The area of the big circle is

There are three identical point mass bodies each of mass m locted at the vertices of an equilateral triangle with side r . They are experting gravitational force of attraction on each other, which can be given by Newton's law of gravitaiton. Each mass body produces its gravitational field in the surrounding region. the magnitude of gravitational field at a point due to a point mass body is the measure of gravitaitonal intensity at that point. The gravitational potential at a point in a gravitational field is the amount of workdone in bringing a unit mass body infinity to the given point without acceleration. Answer the following questions : The magnitude of the gravitational force on one body due to other two bodies is

The masses of two spheres are 10 kg and 20 kg respectively. If the distance between their centres is 100m, find the magnitude of the gravitational force between them.

Two solid sphere of same size of a metal are placed in contact by touching each other prove that the gravitational force acting between then is directly proportional to the fourth power of their radius.

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

DC PANDEY-GRAVITATION-All Questions
  1. The work done in slowly lifting a body from earth's surface to a heigh...

    Text Solution

    |

  2. The magnitude of gravitational potential energy of the moon earth sys...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |