Home
Class 12
PHYSICS
Two paricles of equal mass m go round a ...

Two paricles of equal mass `m` go round a circle of radius R under the action of their mutual gravitional attraction. The speed of each particle is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN |Exercise Basic Maths (Properties of Matter & Fluid Mechanics)(Elasticity)|20 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Properties of Matter & Fluid Mechanics)(Fluid Dynamics + Viscosity)|20 Videos

  • RACE

    ALLEN |Exercise Basic Maths (ROTATIONAL MOTION)|71 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

Two particles of equal mass 'm' go around a circle of radius R under the action of their mutual gravitaitonal attraction. The speed of each particle with respect to their centre of a mass is -

Two particles of equal mass m move around a circle of radius R under the influence of their mutual gravitational attraction, the speed of each particle with respect to their center of mass will be ..........

Two particles of equal mass (m) each move in a circle of radius (r) under the action of their mutual gravitational attraction find the speed of each particle.

Four particles, each of mass M and equidistant from each other, move along a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is:

Four particles, each of mass M and equidistant "from each other, move along a circle of radius R under the action of the mutual gravitational attraction. The speed of each particle is ......... (G = universal gravitational constant)

A double star is a system of two stars of masses m and 2m , rotating about their centre of mass only under their mutual gravitational attraction. If r is the separation between these two stars then their time period of rotation about their centre of mass will be proportional to

Two particle which are initially at rest, move towards each other under the action of their internal alteration. If there speeds are v and 2v at any instant, then the speed of centre of mass of the system will be……….

A particle is moving in a circular path of radius a under the action of an attractive potential U = -k/(2r^(2)) .Its energy is

Three particles, each of the mass m are situated at the vertices of an equilateral triangle of side a . The only forces acting on the particles are their mutual gravitational forces. It is desired that each particle moves in 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. (F=(Gm_(1)m_(2))/(r^(2)))

A particle of mass m is moving in a horizontal circle of radius R under a centripetal force equal to -A/r^(2) (A = constant). The total energy of the particle is :- (Potential energy at very large distance is zero)

ALLEN -RACE-Basic Maths (GRAVITATION)
  1. Two paricles of equal mass m go round a circle of radius R under the a...

    Text Solution

    |

  2. A particle is projected vertically upwards the surface of the earth (r...

    Text Solution

    |

  3. A mass of 6xx10^24 kg (equal to the mass of the earth) is to be compre...

    Text Solution

    |

  4. Which of the following statements are true about acceleration due to g...

    Text Solution

    |

  5. The intensity of gravitational field at a point situated at a distance...

    Text Solution

    |

  6. For a satellite to be geo-stationary, which of the following are essen...

    Text Solution

    |

  7. Statement-1:A person feels weightlessness in an artificial satellite o...

    Text Solution

    |

  8. Statement-1: Moon cannot be used as a satellite for communication. S...

    Text Solution

    |

  9. if suddenly the gravitational force of attraction between earth and a ...

    Text Solution

    |

  10. The kinetic energy needed to project a body of mass m from the earth's...

    Text Solution

    |

  11. The change in the value of g at a height h above the surface of the ea...

    Text Solution

    |

  12. The height at which the acceleration due to gravity becomes g/9 in ter...

    Text Solution

    |

  13. Two bodies of masses m and 4m are placed at a distance r. the gravitat...

    Text Solution

    |

  14. Gravitational force between a point mass m and M separated by a distan...

    Text Solution

    |

  15. How much below the surface of the earth does the acceleration due to g...

    Text Solution

    |

  16. The eccentricity of the earth's orbit is 0.0167, the ratio of its maxi...

    Text Solution

    |

  17. A ball of mass m is fired vertically upwards from the surface of the e...

    Text Solution

    |

  18. A thin of length L is bent to form a semicircle. The mass of rod is M....

    Text Solution

    |

  19. Figure showns a planet in an elliptical orbit around the sun S. Where ...

    Text Solution

    |

  20. When a body is taken from the equator to the poles, its weight

    Text Solution

    |