Home
Class 11
PHYSICS
Two particles of equal mass go around a ...

Two particles of equal mass go around a circle of radius R under the action of their mutual gravitational attraction. The speed 'v' of each particle is :

A

`v=1/(2R)sqrt((1/(Gm)))`

B

`v=sqrt((Gm)/(2R))`

C

`v=1/2sqrt((Gm)/R)`

D

`v=sqrt((4Gm)/R)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Transfer of heat

    MODERN PUBLICATION|Exercise Exercise|27 Videos

  • Unit test - Properties of bulk matter

    MODERN PUBLICATION|Exercise Example|130 Videos

Similar Questions

Explore conceptually related problems

Three particles, each of mass 'm' are situated at the vertices of an equilateral triangle of side 'a'. the only force acting on the particles are their mutual gravitatinoal foces. It is desired that each particle move on a circle, while maintaining the original mutual separation 'a'. Find the initial velocity that should be given to each particle and also the time period of the circular motion.

Two particles of equal masses are revolving in circular paths of radii r_1 and r_2 respectively with the same time period .The ratio fo the centripetal force is :

Two spheres of equal radius r are touching each other. The force of attra tion between them is proportional to

Two bodies of different masses of 2 kg and 4 kg are moving with velocities 2 ms^-1 and 10 ms^-1 towards each other due to mutual gravitational attraction. What is velocity of their centre of mass?

A particle is moving in a circular path of radius r. The displacement after half a circle would be

A particle moves in a circle of radius r. In half the period of revolution, its displacement and distance covered are

A particle moves in a circle of radius r with constant angular velocity omega . What is the change in velocity when the particle describe an angle of 90^@ ?

A particle of mass m and charge (-q) enters the region between the two charged plates initially moving along x-axis with speed v_x. The length of plate is L and an uniform electric field E is maintained between the plates. Show that the vertical deflection of the particle at the far edge of the plate is qEL^2//(2m v_x^2) .

MODERN PUBLICATION-Unit Test - Gravitation-Example
  1. Two Spheres of masses m and M are situated in air and the gravitationa...

    Text Solution

    |

  2. The earth ( mass=6xx10^24kg) revolves around the sun with an angular v...

    Text Solution

    |

  3. Two particles of equal mass go around a circle of radius R under the a...

    Text Solution

    |

  4. If the gravitational force between two objects were proportional to 1/...

    Text Solution

    |

  5. Calculate the average density of the earth terms of g, G and R.

    Text Solution

    |

  6. The acceleration due to gravity g and mean density of the earth p are ...

    Text Solution

    |

  7. Imagine a new planet having the same density as that of earth, but is ...

    Text Solution

    |

  8. The acceleration due to gravity on the planet A is 9 times the acclera...

    Text Solution

    |

  9. A body weighs 72 N on the surface of the earth. What is the gravitatio...

    Text Solution

    |

  10. The radius of earth is about 6400Km and that of mars is about 3200 km ...

    Text Solution

    |

  11. A ball is dropped from a high rise platform at t=0 starting from rest....

    Text Solution

    |

  12. A body of mass m is placed on earth surface, which is taken from earth...

    Text Solution

    |

  13. The potential energy between two atoms in a molecule is given by U(x)=...

    Text Solution

    |

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

    Text Solution

    |

  15. The escape velocity of a particle of mass m varies directly as

    Text Solution

    |

  16. The escape velocity for a body projected vertically upwards from the s...

    Text Solution

    |

  17. The escape velocity of a body on the surface of the earth is 11.2kms^-...

    Text Solution

    |

  18. The escape velocity on the surface of earth is 11.2 km s^-1 . What wou...

    Text Solution

    |

  19. With what velocity should an object be projected from the surface of t...

    Text Solution

    |

  20. the earth is assumed to be a sphere of radius R. A platform is arrange...

    Text Solution

    |