Home
Class 12
PHYSICS
A particle of mass 10 g is kept on the s...

A particle of mass `10 g` is kept on the surface of a uniform sphere of mass `100 kg` and radius `10 cm`. Find the work done against the gravitational force between them to take the particle far away from the sphere.

A

`13.34xx10^(-10)` J

B

`3.33xx10^(-10)` J

C

`6.67xx10^(-9)` J

D

`6.67xx10^(-10)` J

Text Solution

Verified by Experts

The correct Answer is:
D

Work done = Change in GPE = `U_oo - U_R`
`W=0-((GMm)/R)=(GMm)/R = (6.67xx10^(-11)xx100xx10^(-2))/10^(-1) =6.67xx10^(-10)` J
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

A particle of mass 100 g is kept on the surface of a uniform sphere of mass 10 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle away from the sphere.

A particle of mass 10g is kept on the surface of a uniform sphere of masss 100kg and radius 10cm. Find the work to be done against the gravitational force between them to take the particel far away from the sphere (you may take G = 6.67xx10^(-11) Nm^2 /kg^2)

A particle of mass 1 kg is kept on the surface of a uniform sphere of mass 20 kg and radius 1.0 m . Find the work to be done against the gravitational force between them to take the particle away from the sphere.

A particle of mass m is kept on the axis of a fixed circular ring of mass M and radius R at a distance x from the centre of the ring. Find the maximum gravitational force between the ring and the particle.

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

A particle of mass m was transferred from the centre of the base of a uniform hemisphere of mass M and radius R into infinity. What work was performed in the process by the gravitational force exerted on the particle by the hemisphere?

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

A particle of mass M is placed at the centre of a uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance a/2 from the center.

A particle of mass M is placed at the centre of a uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance a/2 from the centre.

A particle of mass M is placed at the centre of a uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance a/2 from the centre.

VMC MODULES ENGLISH-GRAVITATION-JEE Main (Archive)
  1. Suppose the gravitational force varies inversely as the n^(th) power o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The relative uncertainty in the period of a satellite orbiting around ...

    Text Solution

    |

  15. A body of mass m is moving in a circular orbit of radius R about a pla...

    Text Solution

    |

  16. Take the mean distance of the moon and the sun from the earth to be0.4...

    Text Solution

    |

  17. Four identical particles of mass M are located at the corners of a squ...

    Text Solution

    |

  18. A rocket has to be launched from earh in such a way that it never retu...

    Text Solution

    |

  19. A solid sphere of radius a and mass m is surrounded by cocentric spher...

    Text Solution

    |

  20. A test particle is moving in a circular orbit in the gravitational fie...

    Text Solution

    |