Home
Class 12
PHYSICS
Two spherical bodies of mass M and 5M an...

Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only then the distance covered by the smaller body just before collision is

A

2.5 R

B

4.5 R

C

7.5 R

D

1.5 R

Text Solution

Verified by Experts

The correct Answer is:
C
If `x_(1) and x_(2)` be the distances covered by two bodies then `x_(1)+x_(2)=9R`.
Also `Mx_(1)=5Mx_(2) rArr x_(2)=(x_(1))/(5)`
`x_(1)+(x_(1))/(5)=9R rArr x_(1)=7.5R`
Thus correct choice is (c ).
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-III Questions From AIEEE/JEE Examination)|6 Videos

  • GRAVITATION

    MODERN PUBLICATION|Exercise Recent Competitive Questions|8 Videos

  • GRAVITATION

    MODERN PUBLICATION|Exercise Recent Competitive Questions|8 Videos

  • ELECTROSTATICS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS |39 Videos

  • HEAT AND THERMODYNAMICS

    MODERN PUBLICATION|Exercise Recent Competitve Questions|17 Videos

Similar Questions

Explore conceptually related problems

Two circle of radii 5m and 3cm touch each other as shown in the figure .The distance between their centres is:

Two spherical black bodies of radii r_(1) and r_(2) and with surface temperatures T_(1) and T_(2) respectively, radiate the same power. Then r_(1)//r_(2) must be equal to

MODERN PUBLICATION-GRAVITATION-Multiple Choice Questions (LEVEL-II)
  1. The condition for the uniform sphere of mass m of radius r to be a bla...

    Text Solution

    |

  2. The earth is assumed to be a sphere of radius R. A platform is arrange...

    Text Solution

    |

  3. Two satellites of earth, S(1) and S(2) are moving in the same orbit. T...

    Text Solution

    |

  4. The figure shows eliptical orbit of a planet m about the Sun S. The sh...

    Text Solution

    |

  5. A body projected vertically from the earth reaches a height equal to e...

    Text Solution

    |

  6. A geostatationary satellite is orbiting the earth at a height of 5R ab...

    Text Solution

    |

  7. A spherical planet has a mass M(p) and diameter D(p). A particle of ma...

    Text Solution

    |

  8. Geostationary satellite orbits around the earth in a circular orbit of...

    Text Solution

    |

  9. If W(1), W(2) and W(3) represent the work done in moving a particle fr...

    Text Solution

    |

  10. Energy required to move a body of mass m from an orbital of radius 2R ...

    Text Solution

    |

  11. The time period of a satellite of earth is 5 hours. If the separation ...

    Text Solution

    |

  12. Two spherical bodies of mass M and 5M and radii R and 2R respectively ...

    Text Solution

    |

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

    Text Solution

    |

  14. A satellite of mass m revolves around the earth of radius R at a heigh...

    Text Solution

    |

  15. Average density of the earth

    Text Solution

    |

  16. The change in the value of g at a height 'h' above the surface of eart...

    Text Solution

    |

  17. A particle of mass 10 g is kept on the surface of uniform sphere of ma...

    Text Solution

    |

  18. If g(E ) and 8(M) are the accelerations due to gravity on the surfaces...

    Text Solution

    |

  19. This question contain Statement-1 and Statement-2. Of the four choices...

    Text Solution

    |

  20. A planet in a distant solar system is 10 times more massive than the e...

    Text Solution

    |