Home
Class 12
PHYSICS
Imagine a light planet revolving around ...

Imagine a light planet revolving around a very massive star in a circular orbit of radius r with a period of revolution T. On what power of r will the square of time period will depend if the gravitational force of attraction between the planet and the star is proportional to `r^(-5//2)`.

A

`T^(2) alpha R^(5//2)`

B

`T^(2) alpha R^(-7//2)`

C

`T^(2) alpha R^(3//2)`

D

`T^(2) alpha R^(4)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    NIKITA PUBLICATION|Exercise Multiple Choice Questions|458 Videos
  • INTERFERENCE AND DIFFRACTION

    NIKITA PUBLICATION|Exercise MULTPLE CHOICE QUESTIONS|333 Videos

Similar Questions

Explore conceptually related problems

Imagine a light planet revolving around a very massive star in a circular orbit of radius r with a period of revolution T.If the gravitational force of attraction between the planet and the star is proportional to r^(-3) ,then the square of the time period will be proportional to

Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. if the gravitational force of attraction between the planet and the star is proportational to R^(-5//2) , then (a) T^(2) is proportional to R^(2) (b) T^(2) is proportional to R^(7//2) (c) T^(2) is proportional to R^(3//3) (d) T^(2) is proportional to R^(3.75) .

Imagine a light planet revoling around a very massiv star in a circular orbit of radius R with a period of revolution T. if the gravitatinal force of attraction between the planet and the star is proportional to R-(5//2)

A planet is revolving around a very massive star in a circular orbit of radius r with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to r^(-n), then T^(2) is proportional to

Imagine a light planet revolving around a massive star in a circular orbit of raidus r with a a period of revolution T. If the gravitational force of attraction between planet and the star is proportioanl to r^(-5)//^(2) , then find the relation between T and r.

A small planet is is revolving around a very massive star in a circular orbit of radius r with a period of revolution. T is the gravitational force between the planet and the star is proportional to r ^(-5//2) ,then T will be proportional to

A planet is revolving around a star in a circular orbit of radius R with a period T. If the gravitational force between the planet and the star is proportional to R^(-3//2) , then

NIKITA PUBLICATION-GRAVITATION-Multiple Choice Questions
  1. The gravitational acceleration on the surface of earth of radius R and...

    Text Solution

    |

  2. The dimensions of universal gravitational constant are :-

    Text Solution

    |

  3. If the distance between the earth and the sun becomes 1//4th of its pr...

    Text Solution

    |

  4. The densities of two planets are in the ratio of 2 : 3 and their radii...

    Text Solution

    |

  5. The gravitational potential due to the earth is minimum at

    Text Solution

    |

  6. The earth rotates about its own axis, then the value of acceleration d...

    Text Solution

    |

  7. The time period 'T' of the artificial satellite of earth depends on th...

    Text Solution

    |

  8. According the Kepler's law, the areal velocity of a planet around the ...

    Text Solution

    |

  9. If the earth stops rotating, then the weight of an object at the north...

    Text Solution

    |

  10. The escape velocity from the earth is 11 km//s. The escape velocity fr...

    Text Solution

    |

  11. A rocket is launched vertical from the surface of the earth of radius ...

    Text Solution

    |

  12. A communication satellite is revolving around the earth very close to ...

    Text Solution

    |

  13. Imagine a light planet revolving around a very massive star in a circu...

    Text Solution

    |

  14. Calculate angular velocity of the earth so that acceleration due to gr...

    Text Solution

    |

  15. The bulging of the earth at the equator and flattening at the ...

    Text Solution

    |

  16. The bulging of the earth at the equator and flattening at the ...

    Text Solution

    |

  17. The dimensions of universal gravitational constant are :-

    Text Solution

    |

  18. A mass is suspended from a spring having spring constant k is displa...

    Text Solution

    |

  19. A satellite of mass m is in a circular orbit of radius r round the Ear...

    Text Solution

    |

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

    Text Solution

    |