Home
Class 11
PHYSICS
Suppose the gravitational force varies i...

Suppose the gravitational force varies inversely as the `n^(th)` power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to

A

`r^((n-1)/2)`

B

`r^((n+1)/2)`

C

`r^(n-1)`

D

`r^n`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FRICTION IS SOLIDS AND LIQUIDS

    TARGET PUBLICATION|Exercise MCQ (EVALUATION TEST)|21 Videos
  • LAWS OF MOTION

    TARGET PUBLICATION|Exercise EXERCISE|281 Videos

Similar Questions

Explore conceptually related problems

Time period of a satellite in a circular obbit around a planet is independent of

The time period of a satellite in a circular orbit of radius R is T. The radius of the orbit in which time period is 8 T is

If the distance between the earth and sun becomes 1/4 ^(th) , then its period of revolution around the sun will become

The earth moves round the sun in a near circular orbit of radius 1.5 xx 10^11 m. Its centripetal acceleration is

If the gravitational force were proportional to 1/r , then a particle in a circular orbit under such a force would have its original speed:

The mass density of a spherical galaxy varies as K/r over a large distance 'r' from its centre. In that region, a small star is in a circular orbit of radius R. Then the period of revolution, T depends on R as:

The orbital speed of an electron orbiting around the nucleus in a circular orbit of radius r is v. Then the magnetic dipole moment of the electron will be

The mass of planet Jupiter is 1.9xx10^(27)kg and that of the Sun is 1.9xx10^(30)kg . The mean distance of Jupiter from the Sun is 7.8xx10^(11) m. Calculate te gravitational force which Sun exerts on Jupiter. Assuming that Jupiter moves in circular orbit around the Sun, also calculate the speed of Jupiter G=6.67xx10^(-11)Nm^(2)kg^(-2) .

The magnetic moment of a current (i) carrying circular coil of radius (r) and number of turns (n) varies as

The square of time period of revolution around the sun is diretly proportional to the ______of the planet from the sun .

TARGET PUBLICATION-Gravitation-Exercise
  1. The mass of planet Jupiter is 1.9xx10^(27)kg and that of the Sun is 1....

    Text Solution

    |

  2. A mass M is broken into two parts of masses m1 and m2. How are m1 and ...

    Text Solution

    |

  3. Suppose the gravitational force varies inversely as the n^(th) power o...

    Text Solution

    |

  4. A body is projected vertically upwards from the surface of a planet of...

    Text Solution

    |

  5. What should be the velocity of earth due to rotation about its own axi...

    Text Solution

    |

  6. For a satellite that orbits as close to the earth's surface as possibl...

    Text Solution

    |

  7. Let omega be the angular velocity of earth's rotation about the axis. ...

    Text Solution

    |

  8. Two planets have density in the ratio 2 : 3 and radii in the ratio 1 :...

    Text Solution

    |

  9. Two planets move around the Sun. The periodic times and the mean radii...

    Text Solution

    |

  10. If the value of the gravitational acceleration at the height h be 1% o...

    Text Solution

    |

  11. Two satellites are orbiting around the Earth in circular orbits of the...

    Text Solution

    |

  12. A particle of mass m is subjected to an attractive central force of ma...

    Text Solution

    |

  13. The percentage change in the acceleration of the Earth towards the Sun...

    Text Solution

    |

  14. The escape velocity for a body projected vertically upwards is 11.2 km...

    Text Solution

    |

  15. The orbital velocity of a body at height h above the surface of Earth ...

    Text Solution

    |

  16. Assuming the earth as a sphere of uniform density. the acceleration du...

    Text Solution

    |

  17. Mars has about ((1)/(10))^(th) as much mass as the Earth and half as a...

    Text Solution

    |

  18. A comet is moving around the earth in.highly elliptical orbit. Identif...

    Text Solution

    |

  19. Two particles are projected from the surface of the earth with velocit...

    Text Solution

    |

  20. Two identical solid copper spheres of radius R placed in contact with ...

    Text Solution

    |