Home
Class 11
PHYSICS
Two bodies of masses m(1)" and "m(2) are...

Two bodies of masses `m_(1)" and "m_(2)` are initially at rest at infinite distance aprat. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity of approach at a separation distance r between them is

A

`[2G ((m_(1)-m_(2)))/(r )]^(1/2)`

B

`[(2G)/(r ) (m_(1)+m_(2))]^(1/2)`

C

`[(r )/(2G (m_(1)m_(2)))]^(1/2)`

D

`[(2G)/( r) m_(1)m_(2)]^(1/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPENDICES

    AAKASH SERIES|Exercise GRAVITATION (EARTH SATELLITES AND ESCAPE SPEED)|35 Videos
  • APPENDICES

    AAKASH SERIES|Exercise GRAVITATION (ACCELERATION DUE TO GRAVITY BELOW AND ABOVE SURFACE OF THE EARTH)|18 Videos
  • CALORIMETRY

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (LECTURE SHEET (ADVANCED)(Matrix Type Questions)|1 Videos

Similar Questions

Explore conceptually related problems

Two bodies of masses m_1 and m_2 initially at rest at infinite distance apart move towards each other under gravitational force of attraction. Their relative velocity of approach when they are separated by a distance r is (G= universal gravitational constant.)

Two spheres of masses 2M and M are initially at rest at a distance R apart. Due to mutual force of attraction, they approach each other. When they are at separation R/2, the acceleration of the centre of mass of spheres would be

AAKASH SERIES-APPENDICES -GRAVITATION (GRAVITATIONAL POTENTIAL ENERGY)
  1. Two bodies of masses m(1)" and "m(2) are initially at rest at infinite...

    Text Solution

    |

  2. A particle of mass M is placed at the centre of a uniform spherical sh...

    Text Solution

    |

  3. Four particle each of mass 1kg are at the four orners of a square of s...

    Text Solution

    |

  4. If three particles each of mass m are placed at the three corners of a...

    Text Solution

    |

  5. A body of mass.m. is raised from the surface of earth to a point which...

    Text Solution

    |

  6. A body starts from rest from a point distance RQ from the centre of th...

    Text Solution

    |

  7. A satellite of mass, .m. revolves around the earth of radius R at a he...

    Text Solution

    |

  8. A person brings a mass of 1 kg from infinity to a point A. Initially t...

    Text Solution

    |

  9. The potential energy of a body of mass.m. is given by U = px + qy + rz...

    Text Solution

    |

  10. Two bodies of masses m1 and m2 initially at rest at infinite distance ...

    Text Solution

    |

  11. The mass of the earth is 6.00 xx 10^24 kg and that of the moon is 7.40...

    Text Solution

    |

  12. A particle of mass M is placed at the centre of a uniform spherical sh...

    Text Solution

    |

  13. The gravitational field due to a mass distribution is E=A/x^(2) in x-d...

    Text Solution

    |

  14. The gravitational field in a region is given by E =10(hati + hatj) N//...

    Text Solution

    |

  15. The velocity with which a body should be projected from the surface of...

    Text Solution

    |

  16. The minimum speed with which a body must be thrown to reach a height R...

    Text Solution

    |

  17. A body starts from rest from a point distance RQ from the surface of t...

    Text Solution

    |

  18. The gravitational field due to a mass distribution is given by E = K//...

    Text Solution

    |

  19. The gravitational field in a regioin is given byvecE=(5hati + 12hatj)N...

    Text Solution

    |