Home
Class 12
PHYSICS
A body of mass m taken form the earth's ...

A body of mass `m` taken form the earth's surface to the height is equal to twice the radius `(R)` of the earth. The change in potential energy of body will be

A

mg 2R

B

`2/3` mgR

C

3mgR

D

`1/3` mgR

Text Solution

Verified by Experts

The correct Answer is:
B
Change in potential energy
`triangleU =-(GMm)/(R+2R)-(-GMm)/(R )=-(GMm)/(3R)+(GMm)/(R )`
`=(2GMm)/(3R)=2/3 mgR [because g=(GM)/(R^(2))]`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|20 Videos

  • GRAVITATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1|69 Videos

  • FRICTION IN SOLID AND LIQUIDS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2 (Miscellaneous Problems)|24 Videos

  • INTERFERENCE AND DIFFRACTION OF LIGHT

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|24 Videos

Similar Questions

Explore conceptually related problems

A body of mass m is taken from the earth's surface to the height equal to twice the radius (R) of the earth.The change in potential energy of body will be

A body of mass m taken from the earth's surface to the height equal to the twice the earth radius R of the earth . The change in potential energy of the body will be

A body of mass m is lifted up from the surface of earth to a height three times the radius of the earth R . The change in potential energy of the body is

A body of mass m is lifted up from the surface of earth to a height three times the radius of the earth . The change in potential energy of the body is (g - gravity field at the surface of the earth )

A body of mass m is placed on the earth's surface . It is taken from the earth's surface to a height h = 3 R when R is the radius of the earth. The change in gravitational potential energy of the body is

A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase in potential energy will be

The acceleration due to gravity on the surface of the earth is g. If a body of mass m is raised from the surface of the earth to a height equal to the radius R of the earth, then the gain in its potential energy is given by

A body of mass m is lifted from the surface of earth of height equal to R//3 where R is the radius of earth, potential energy of the body increases by

When a body id lifted from surface of earth height equal to radius of earth, then the change in its potential energy is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-GRAVITATION -Exercise 2
  1. Four equal masses (each of mass M) are placed at the corners of a squa...

    Text Solution

    |

  2. A point P(Rsqrt(3),0,0) lies on the axis of ring of mass M and rad...

    Text Solution

    |

  3. The ratio of energy required to raise a satellite to a height h above ...

    Text Solution

    |

  4. A small body of superdense material, whose mass is twice the mass of t...

    Text Solution

    |

  5. The magnitude of the gravitational field at distance r(1) and r(2) fro...

    Text Solution

    |

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

    Text Solution

    |

  7. Four particles each of mass M move along a circle of radius R unde...

    Text Solution

    |

  8. Suppose a verticle tunnel is alng the diametrer of earth assumed to ...

    Text Solution

    |

  9. F is the gravitational force between two point masses m(1) and m(2) , ...

    Text Solution

    |

  10. A planet of mass m moves around the Sun of mass Min an elliptical orbi...

    Text Solution

    |

  11. An artifical satellite of mass 'm' is moving in a circular orbit aroun...

    Text Solution

    |

  12. An artificial satellite is moving in a circular orbit around the ear...

    Text Solution

    |

  13. The period of a planet around sun is 27 times that of earth the rati...

    Text Solution

    |

  14. The satellite of mass m revolving in a circular orbit of radius r arou...

    Text Solution

    |

  15. Which of the following most closely depicts the correct variation o...

    Text Solution

    |

  16. There are two particles of masses m(1) and m(2) separted by a distanc...

    Text Solution

    |

  17. If the big sphere and the small are of masses M,m respectively and d ...

    Text Solution

    |

  18. If the distance between the sun and the earth is increased by three ti...

    Text Solution

    |

  19. Dependence of intensity of gravitational field (E) of earth with dista...

    Text Solution

    |

  20. A body of mass m taken form the earth's surface to the height is equal...

    Text Solution

    |