Home
Class 11
PHYSICS
Two identical copper spheres of radius R...

Two identical copper spheres of radius `R` are in contact with each other. If the gravitational attraction between them is `F`, find the relation between `F` and `R`.

A

`R^(2)`

B

`R^(-2)`

C

`R^(4)`

D

`R^(-4)`

Text Solution

Verified by Experts

The correct Answer is:
C

Mass of sphere `m=sigma.4/3piR^(3) implies m prop R^(3)`
`F=(Gm^(2))/((2R)^(2))`
`F prop (R^(6))/(R^(2)) implies F prop R^(4)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Two identical copper spheres of radius R are in contact with each other. If the gravitational attraction between them is F, find the relation berween F and R.

Two identical solid copper spheres of radius R placed in contact with each other. The gravitational attracton between them is proportional to

Two leads spheres of same radii are in contact with eacth other. The gravitational force of attraction between them is F . If two leads spheres of double the previous radii are in contanct with eacth other, the gravitational force of attraction between them now will be

If the distance between two masses is doubled , the gravitational attraction between them

Two speres of radii r and 2r touching each other the force of attraction betweeen them is proportional

Two identical spheres of radius R made of the same material are kept at a distance d apart. Then the gravitational attraction between them is proportional to

If the distance between two masses is doubled, then the gravitational attraction between them will be

Knowledge Check

  • Two identical solid copper spheres of radius R placed in contact with each other. The gravitational attracton between them is proportional to

    A
    `R`
    B
    `R-`
    C
    `R`
    D
    `R`

  • The gravitational attraction between two masses is

    A
    Proportional to the distance between them,
    B
    Proportional to the square of the distance between them,
    C
    Proportion to the product of the masses,
    D
    Inversely proportional to the product of the masses,

  • Two identical solid spheres each of radius 7 are in contact with each other. If the gravitational attraction between them is F, then which of the following relations is correct?

    A
    ` F prop (1)/ ( r ) `
    B
    ` F prop (1)/(r^(2))`
    C
    ` F prop (1)/(r^(3))`
    D
    ` F prop (1)/(r^(4))`
    • CP SINGH-GRAVITATION-EXERCISE
    1. Two identical copper spheres of radius R are in contact with each othe...

      Text Solution

      |

    2. Two sphere of masses m and M are situated in air and the gravitational...

      Text Solution

      |

    3. Two particles of equal mass 'm' go around a circle of radius R under t...

      Text Solution

      |

    4. Two point masses A and B having masses in the ratio 4:3 are separated ...

      Text Solution

      |

    5. If R is the radius of the earth and g the acceleration due to gravity ...

      Text Solution

      |

    6. Mass remaining constant, the radius of the earth shrinks by 1%. The ac...

      Text Solution

      |

    7. Two planets have the same average density but their radii are R(1) and...

      Text Solution

      |

    8. The density of a newly discovered planet is twice that of earth. The a...

      Text Solution

      |

    9. Acceleration due to gravity on moon is 1//6 of the acceleration due to...

      Text Solution

      |

    10. Consider a planet in some solar system which has a mass double the mas...

      Text Solution

      |

    11. Which graph correctley presents the variation of acceleration due to g...

      Text Solution

      |

    12. Let the acceleration due to gravity be g(1) at a height h above the ea...

      Text Solution

      |

    13. The weight of an object in the coal mine, sea level and at the top of ...

      Text Solution

      |

    14. Suppose the earth increases its speed of rotation . At what new time p...

      Text Solution

      |

    15. Suppose the acceleration due to gravity at earth's surface is 10ms^-2 ...

      Text Solution

      |

    16. Two bodies of masses m and 4m are placed at a distance r. The gravitat...

      Text Solution

      |

    17. Four particles each of mass m are placed at the vertices of a square o...

      Text Solution

      |

    18. Infinite number of masses, each of 1 kg, are placed along the x-axis a...

      Text Solution

      |

    19. A particle of mass M is placed at the centre of a uniform spherical sh...

      Text Solution

      |

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

      Text Solution

      |