Home
Class 11
PHYSICS
What is the mass of the planet that has ...

What is the mass of the planet that has a satellite whose time period is `T` and orbital radius is `r`?

A

`4 pi^(2) R^(3)G^(-1)T^(-2)`

B

`8pi^(2)R^(3)G^(-1) T^(-2)`

C

`12 pi^(2) R^(3)G^(-1)T^(-2)`

D

`16 pi^(2)R^(3)G^(-1) T^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Radius of orbit of a satellite is R and T is time period. Find T' when orbit radius increase to 9R

The binding of a satellite of mass m in a orbit of radius r is

According to Kepler's law of planetary motion, if T represents time period and r is orbital radius, then for two planets these are related as

The time period T of the moon of planet mars (mass M_(m) ) is related to its orbital radius R as ( G =gravitational constant)

The radius of orbit of a planet is two times that of the earth. The time period of planet is

Consider a hypothetical planet which is very long and cylinderical. The density of the planet is rho , its radius is R . Assume that the planet is rotating abouts its axis with time period T . How far from the axis of the planet do the synchronous telecommunications satellite orbit?

An artificial satellite (mass m) of a planet (mass M) revolves in a circular orbit whose radius is n times the radius R of thhe planet in the process of motion the satellite experiences a slight resistance due to cosmic dust. Assuming the force of resistance on satellite to depend on velocity as F=av^(2) where 'a' is a constant caculate how long the satellite will stay in the space before it falls onto the planet's surface.

For a planet of mass M, moving around the sun in an orbit of radius r, time period T depends on its radius (r ), mass M and universal gravitational constant G and can be written as : T^(2)= (Kr^(y))/(MG) . Find the value of y.

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

    |