Home
Class 11
PHYSICS
Two spherical bodies of mass M and 5M & ...

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

A

1.5R

B

2.5R

C

4.5R

D

7.5R

Text Solution

Verified by Experts

The correct Answer is:
D
Since, `m_(1) r_(1)= m_(2) r_(2)`
`rArr Mx= 5M (9R- x)`
`rArr Mx= 45MR- 5Mx`
`rArr x= (45R)/(6)= 7.5 R`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    ERRORLESS|Exercise ASSERTION AND REASON|25 Videos

  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Torque and Couple)|27 Videos

  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Rolling on Inclined Plane)|54 Videos

  • NEWTON'S LAWS OF MOTION

    ERRORLESS|Exercise ASSERTION & REASON |18 Videos

  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise Assertion & Reason|15 Videos

Similar Questions

Explore conceptually related problems

Two spherical bodies of masses 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, the distance covered by smaller sphere just before collision is

Two spherical bodies of masses m and 4 m and radii R and 2R respectively are released in free space with initial separation between their centres equal to 15 R. If they attract each other due to gravitational force only, then the distance covered by smaller sphere just before collision will be

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

Two spherical bodies of masses m and 6m and radii R and 2R respectively are released in free space with initial separation between their centres equal to 10 R . If they attract each other due to gravitational force only , then the distance covered by smaller sphere just before collisions will be

Two lead balls of masses m and 5m having radii R and 2R are separated by 12R . If they attract each other by gravitational force, the distance covered by small sphere before they touch each other is

Two identical spheres each of mass M and radius R are separated by a distance 3R. The force of attraction between them is proportional to

Two particles of mass m_(1) and m_(2) , approach each other due to their mutual gravitational attraction only. Then

ERRORLESS-ROTATIONAL MOTION-PAST YEARS QUESTIONS
  1. Two spherical bodies of mass M and 5M & radii R & 2R respectively are ...

    Text Solution

    |

  2. A ladder is leaned against a smooth wall and it is allowed to slip on ...

    Text Solution

    |

  3. A wheel has angular acceleration of 3.0 rad//s^2 and an initial angula...

    Text Solution

    |

  4. The direction of the angular velocity vector is along

    Text Solution

    |

  5. If the equation for the displacement of a particle moving in a circula...

    Text Solution

    |

  6. A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm...

    Text Solution

    |

  7. Two particles A and B are moving in uniform circular motion in concent...

    Text Solution

    |

  8. Three point masses each of mass m are placed at the corners of an equi...

    Text Solution

    |

  9. The moment of inertia of a rod about an axis through its centre and pe...

    Text Solution

    |

  10. From a disc of radius R and mass M, a circular hole of diameter , R wh...

    Text Solution

    |

  11. A uniform cylinder has radius R and length L. If the moment of inertia...

    Text Solution

    |

  12. A solid sphere is rotating freely about its symmetry axis in free spac...

    Text Solution

    |

  13. A light rod of length l has two masses m1 and m2 attached to its two e...

    Text Solution

    |

  14. A uniform rod AB of length l and mass m is free to rotate abou...

    Text Solution

    |

  15. A constant torque of 31.4 N-m is exterted on a pivoted wheel. If the a...

    Text Solution

    |

  16. Which of following statements are correct ? ltbgt (a) Centre of mass ...

    Text Solution

    |

  17. A solid cylinder of mass 2 kg and radius 4 cm rotating about its axis ...

    Text Solution

    |

  18. A horizontal platform is rotating with uniform angular velcity around ...

    Text Solution

    |

  19. In an orbital motion, the angular momentum vector is :

    Text Solution

    |

  20. A constant torque acting on a uniform circular wheel changes its angul...

    Text Solution

    |