Home
Class 12
PHYSICS
Two bodies of mass m(1) and m(2) are ini...

Two bodies of mass `m_(1) and m_(2)` are initially at rest placed infinite distance apart. They are then allowed to move towards each other under mutual gravitational attaction. Show that their relative velocity of approach at separation r betweeen them is
`v=sqrt(2G(m_(1)+m_(2)))/(r)`

A

`[2G((m_1+m_2))/r]^(1/2)`

B

`[(2G)/rm_1+m_2]^(1/2)`

C

`[(2G((m_1-m_2))/r]^(1/2)`

D

`[r/(2G(m_1m_2))]^(1/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA NEET SET 94

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos

  • NTA NEET SET 96

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos

Similar Questions

Explore conceptually related problems

Two bodies of masses m_(1) and m_(2) are initially at infinite distance at rest. Let they start moving towards each other due to gravitational attraction. Calculate the (i) ratio of accelerations and (ii) speeds at the point where separation between them becomes r.

Two particles m_(1) and m_(2) are initially at rest at infinite distance. Find their relative velocity of approach due to gravitational attraction when their separation is d.

Two particles of mass m and M are initially at rest and infinitely separated from each other. Due to mutual interaction, they approach each other. Their relative velocity of approach at a separation d between them, is

Two objects of masses m and 4m are at rest at an infinite separation. They move towards each other under mutual gravitational attraction. If G is the universal gravitaitonal constant, then at separation r

Two objectes of mass m and 4m are at rest at and infinite seperation. They move towards each other under mutual gravitational attraction. If G is the universal gravitational constant. Then at seperation r

Two particles of mass 'm' and 3 m are initially at rest an infinite distance apart. Both the particles start moving due to gravitational attraction. At any instant their relative velocity of approach is sqrt((ne Gm)/d where 'd' is their separation at that instant. Find ne.

Two bodies of masses M_(1) and M_(2) , are placed at a distance R apart. Then at the position where the gravitational field due to them is zero, the gravitational potential is

Two particles of masses m and M are initially at rest at an infinite distance part. They move towards each other and gain speeds due to gravitational attracton. Find their speeds when the separation between the masses becomes equal to d .

Two particles of masses m_(1) and m_(2) initially at rest a infinite distance from each other, move under the action of mutual gravitational pull. Show that at any instant therir relative velocity of approach is sqrt(2G(m_(1)+m_(2))//R) where R is their separation at that instant.

Two particles of mass m and M are initialljy at rest at infinite distance. Find their relative velocity of approach due to gravitational attraction when d is their separation at any instant

NTA MOCK TESTS-NTA NEET SET 95-PHYSICS
  1. The function sin^(2)(omega t) represents:

    Text Solution

    |

  2. A particle executing a simple harmonic motion has a period of 6 s. The...

    Text Solution

    |

  3. A metal surface of work function 1.07 eV is irradiated with light of w...

    Text Solution

    |

  4. When radiation is incident on a photoelectron emitter , the stopping p...

    Text Solution

    |

  5. The length of a rubber cord is l(1) m when the tension is 4 N and l...

    Text Solution

    |

  6. A typical riverborne silt particle has a radius of 20(mu)m and a densi...

    Text Solution

    |

  7. A point source of light is kept at a distance of 15cm from a convergi...

    Text Solution

    |

  8. The refracting angle of a prism is A and refractive index of the mater...

    Text Solution

    |

  9. Three equal masses m are rigidly connected to each other by massless r...

    Text Solution

    |

  10. A solid cylinder of mass 20 kg rotates about its axis with angular vel...

    Text Solution

    |

  11. The input resistance of a common emitter amplifier is 330Omega and th...

    Text Solution

    |

  12. When the forwward bias voltage of a diode is changed from 0.6 V to 0.7...

    Text Solution

    |

  13. The coefficient of apparent expansion of mercury in a glass vessel is ...

    Text Solution

    |

  14. In a particular system the units of length, mass and time are chosen t...

    Text Solution

    |

  15. Two light waves having the same wavelength lambda in vacuum are in pha...

    Text Solution

    |

  16. In young's double slit experiment the slits are illumated by light of ...

    Text Solution

    |

  17. The equation of a simple harmonic wave is given by y = 6 sin 2pi ( 2t ...

    Text Solution

    |

  18. It takes 2.0 seconds for a sound wave to travel between two fixed poin...

    Text Solution

    |

  19. Two bodies of mass m(1) and m(2) are initially at rest placed infinite...

    Text Solution

    |

  20. A ball is released from the top of a tower. The ratio of work done by ...

    Text Solution

    |