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

`sqrt((2G(m_(1)+m_(2)))/(r)`

B

`sqrt((2Gm_(1)m_(2))/((m_(1)+m_(2))r)`

C

`sqrt((G(m_(1)+m_(2)))/(r))`

D

`sqrt((Gm_(1)m_(2))/((m_(1)+m_(2))r)`

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

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

DC PANDEY-GRAVITATION-All Questions
  1. A thin spherical shell of mass M and radius R has a small hole. A part...

    Text Solution

    |

  2. A particle is fired upword with a speed of 20km//s . The speed with wh...

    Text Solution

    |

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

    Text Solution

    |

  4. If the period of revolution of an artificial satellite just above the ...

    Text Solution

    |

  5. A satellite is revolving round the earth with orbital speed v(0) if it...

    Text Solution

    |

  6. The ratio of the energy required to raise a satellite upto a height h ...

    Text Solution

    |

  7. A spherical hole is made in a solid sphere of radius R. The mass of th...

    Text Solution

    |

  8. A sphare of mass M and radiusR(2) has a concentric cavity of radius ...

    Text Solution

    |

  9. Imagine a light planet revolving around a very massive star in a circu...

    Text Solution

    |

  10. If G is the uciversal gravitational constant and p is the uniform dens...

    Text Solution

    |

  11. Speed of a planet in an ellioptical orbit with semimajor axis a about ...

    Text Solution

    |

  12. The magnitude of potential energy per unit mass of the object at the s...

    Text Solution

    |

  13. The radius of a planet is R. A satellite revolves around it in a circl...

    Text Solution

    |

  14. Three solid spheres each of mass m and radius R are released from the ...

    Text Solution

    |

  15. The gravitational force acting on a particle, due to a solid sphere of...

    Text Solution

    |

  16. A satellite is moving in a circular orbit round the earth with a diame...

    Text Solution

    |

  17. Two concentric spherical sheels are as shown in figure. The V - r grap...

    Text Solution

    |

  18. One ring of radius R and mass m and one solid sphere of same mass m an...

    Text Solution

    |

  19. A mass is taken from surface to a height h. The change in potential en...

    Text Solution

    |

  20. If radius of a solid sohere is decreases to half, keeping density of s...

    Text Solution

    |