Home
Class 11
PHYSICS
Suppose the law of gravitational attract...

Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e. `F prop 1//r^(3)`, but still remaining a central force. Then

A

Keplers law of areas still holds

B

Keplers law of period still holds

C

Keplers law of areas and period still hold

D

Neither the law of areas, nor the law of period still holds

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    ERRORLESS |Exercise CT|18 Videos

  • GRAVITATION

    ERRORLESS |Exercise GQ|10 Videos

  • GRAVITATION

    ERRORLESS |Exercise Motion of Satellite|67 Videos

  • FRICTION

    ERRORLESS |Exercise MCQ S|125 Videos

  • MOTION IN ONE DIMENSION

    ERRORLESS |Exercise Motion In One Dimension|24 Videos

Similar Questions

Explore conceptually related problems

If the law of gravitational, instead of being inverse-square law, becomes an inverse-cube law

If the law of gravitation be such that the force of attraction between two particles vary inversely as the 5//2^(th) powr of their separation then the graph of orbital velocity v_(0) plotted against the distance r of a satellite from the earth's centre on a log-log scale is shown alongside the slope oline will be

The inverse square law of intensity (i.e., the intensity prop1/r^2) is valid for a

Suppose a light planet is revolving around a heavy star in a circular orbit of radius r and period of revolution T. The gravitational force of attraction between the star and the planet is proportional to (1)/(r^(3//2)) . Derive the relation between T and r.

Suppose that the gravitational force between two bodies separated by a distance R becomes inversely proportional to R (and not as (1)/(R^(2)) as given by Newton's law of gravitation). Then the speed of a particle moving in a circular orbit of radius R under such a force would be proportional to

Supposing Newton's law of gravitation for gravitation forces F_(1) and F_(2) between two masses m_(1) and m_(2) at positions r_(1) and r_(2) read where M_(0) is a constant of dimension of mass, r_(12) = r_(1) - r_(2) and n is a number. In such a case,

Keller's third law states that the square of period of revolution (T) of a planet around the sun is proportional to the sun is proportional to the third power of average distance , r between the sun and the planet i.e T^2 = Kr^3 Here ,K is constant . If masses of the sun and the planet are M and m respectively , then as per Newton's law of gravitation force of attraction between them is F =(GMm)/r^2 , Where G is gravitational constant . The relation between G and K is described as

The distance between two bodies A and B is r . Taking the gravitational force according to the law of inverses square of r , the acceleration of the body A is a . If the gravitational force follows an inverse fourth power law, then what would be the acceleration of the body A ?

ERRORLESS -GRAVITATION-Kepler’s Laws of Planetary Motion
  1. The distance of a planet from the sun is 5 times the distance between ...

    Text Solution

    |

  2. A planet is revolving around the sun as shown in elliptical path. The ...

    Text Solution

    |

  3. In the previous question, the orbit velocity of the planet will be mi...

    Text Solution

    |

  4. The radius of orbit of a planet is two times that of the earth. The ti...

    Text Solution

    |

  5. The orbital angular momentum of a satellite revolving at a distance r ...

    Text Solution

    |

  6. According to Kepler’s law the time period of a satellite varies with i...

    Text Solution

    |

  7. In planetary motion the areal velocity of possition vector of a planet...

    Text Solution

    |

  8. The ratio of the distances of two planets from the sun is 1.38. The ra...

    Text Solution

    |

  9. Kepler's second law is a consequence of

    Text Solution

    |

  10. In an elliptical orbit under gravitational force, in general

    Text Solution

    |

  11. If a new planet is discovered rotating around Sun with the orbital rad...

    Text Solution

    |

  12. Suppose the law of gravitational attraction suddenly changes and becom...

    Text Solution

    |

  13. What does not change in the field of central force

    Text Solution

    |

  14. The eccentricity of the earth's orbit is 0.0167, the ratio of its maxi...

    Text Solution

    |

  15. What is the mass of the planet that has a satellite whose time period ...

    Text Solution

    |

  16. If the orbital velocity of a planet is given by v = G^(a) M^(b) R^(c )...

    Text Solution

    |

  17. Hubble's law states that the velocity with which milky way is moving a...

    Text Solution

    |

  18. Two satellite are revolving around the earth with velocities v(1) and ...

    Text Solution

    |

  19. The condition for a uniform spherical mass m of a radius r to be a bla...

    Text Solution

    |

  20. Earth is revolving around the sun if the distance of the Earth from th...

    Text Solution

    |