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

Two spherical bodies of masses M and 5M and radii R and 2R 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 convered by the smaller body before collision is

A

2.5R

B

4.5R

C

7.5R

D

1.5R

Text Solution

Verified by Experts

The correct Answer is:
C
If `x_1` and `x_2` are the distance covered by the two bodies, then `x_1+x_2=9R`
Also, `Mx_1=5Mx_2 rArr x_2=x_1/5 " " therefore x_1+x_1/5=9R rArr x_1=7.5R`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive) SINGLE OPTION CORRECT|14 Videos

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive) MULTIPLE OPTIONS CORRECT TYPE|5 Videos

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise Level-2|30 Videos

  • GASEOUS STATE & THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE )|111 Videos

  • INTRODUCTION TO VECTORS & FORCES

    VMC MODULES ENGLISH|Exercise JEE Advanced ( ARCHIVE LEVEL-2)|12 Videos

Similar Questions

Explore conceptually related problems

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

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 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 spherical bodies of masses 2M and M and radii 3R and R respectively are held at a distance 16R from each other in free space. When they are released they start approaching each other due to the gravitational force of attraction , then find (a) the ratio of their accelerations during their motion (b) their velocitites at the time of impact.

Two spherical balls of mass 10 kg each are placed 100 m apart. Find the gravitational force of attraction between them.

Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the midpoint of the line joining the centres of the spheres is

Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the midpoint of the line joining the centres of the spheres 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 bodies with masses M_(1) and M_(2) are initially at rest and a distance R apart. Then they move directly towards one another under the influence of their mutual gravitational attraction. What is the ratio of the distances travelled by M_(1) to the distance travelled by M_(2) ?

Two bodies with masses M_(1) and M_(2) are initially at rest and a distance R apart. Then they move directly towards one another under the influence of their mutual gravitational attraction. What is the ratio of the distances travelled by M_(1) to the distance travelled by M_(2) ?

VMC MODULES ENGLISH-GRAVITATION-JEE Main (Archive)
  1. Figure elliptical path abcd of a planet around the sun S such that the...

    Text Solution

    |

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

    Text Solution

    |

  3. Two spherical bodies of masses M and 5M and radii R and 2R are release...

    Text Solution

    |

  4. The escape velocity from the earth is 11.2km//s. If a body is to be pr...

    Text Solution

    |

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

    Text Solution

    |

  6. The time period of an earth satellite in circular orbit is independent...

    Text Solution

    |

  7. If g be the acceleration due to gravity of the earth's surface, the ga...

    Text Solution

    |

  8. Suppose the gravitational force varies inversely as the n^(th) power o...

    Text Solution

    |

  9. If the change in the value of g at a height h above the surface of ear...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The height at which the acceleration due to gravity becomes (g)/(9) (w...

    Text Solution

    |

  13. The mass of a spaceship is 1000 kg. It is to be launched from the eart...

    Text Solution

    |

  14. What is the minimum energy required to launch a satellite of mass m fr...

    Text Solution

    |

  15. Four particles, each of mass M and equidistant from each other, move a...

    Text Solution

    |

  16. An astronaut of mass m is working on a satellite orbiting the earth at...

    Text Solution

    |

  17. The dependence of acceleration due to gravity g on the distance r from...

    Text Solution

    |

  18. If the earth has no rotational motion, the weight of a person on the e...

    Text Solution

    |

  19. The mass density of a spherical body is given by rho(r)=k/r for r le R...

    Text Solution

    |

  20. Suppose that angular velocity of rotation of earth is increased. Then...

    Text Solution

    |