Home
Class 12
PHYSICS
If R is the radius of a planet and g is ...

If R is the radius of a planet and g is the acceleration due to gravity, then the mean density of the planet is given by

A

`(3g)/(4pi GR)`

B

`(4piGR)/(3g)`

C

`(4piGR)/(3G)`

D

`(3G)/(4piGR)`

Text Solution

Verified by Experts

The correct Answer is:
a
`g=(GM)/(R^(2))=(Grho)/(R)(4pi)/(3)R^(3)`
`g=Grho(4pi)/(3)R`
`rho=(3g)/(G4pi R)`
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

If R is the radius of the earth and g the acceleration due to gravity on the earth's surface, the mean density of the earth is

If R is the radius of the earth and g the acceleration due to gravity on the earth’s surface, the mean density of the earth is

The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R , the radius of the planet would be

The density of a newly discovered planet is twice that of the earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth be R, then radius of the planet would be

If different planets have the same density but diferent radii then the acceleration due to gravity (g) on the surface of the planet will depend on its radius (R) as

The escape velocity v of a body depends upon the acceleration due to gravity of the planet and the radius of the planet R. Establish dimensionally the relationship between v, g and R.

Ratio of the radius of a planet A to that of planet B is r . The ratio of acceleration due to gravity for the two planets is x . The ratio of the escape velocities from the two planets is

NIKITA PUBLICATION-GRAVITATION-Multiple Choice Questions
  1. A geo-stationary satellite has an orbital period of

    Text Solution

    |

  2. The mean radius of earth is R, its angular speed on its own axis is w ...

    Text Solution

    |

  3. If R is the radius of a planet and g is the acceleration due to gravit...

    Text Solution

    |

  4. According to Kepler, the period of revolution of a planet ( T ) and it...

    Text Solution

    |

  5. The angular velocity of rotation of star (of mass M and radius R ) at ...

    Text Solution

    |

  6. The ratio of the radius of the earth to that of moon is 10. The ratio ...

    Text Solution

    |

  7. A geo-stationary satellite has an orbital period of

    Text Solution

    |

  8. The radius of a planet is 1/4 of earth’s radius and its acceleration d...

    Text Solution

    |

  9. Which of the following graph depicts relation between time period (T) ...

    Text Solution

    |

  10. The escape velocities on the two planets of denities rho(1) and rho(2)...

    Text Solution

    |

  11. How much energy will be needed for a body of mass 100kg to escape from...

    Text Solution

    |

  12. The distance between centre of the earth and moon is 384000 km . If th...

    Text Solution

    |

  13. When a body id lifted from surface of earth height equal to radius of ...

    Text Solution

    |

  14. A planet has twice the radius but the mean density is 1/4 th as compar...

    Text Solution

    |

  15. The masses of two planets are in the ratio 1 : 2. Their radii are in t...

    Text Solution

    |

  16. The value of gravitational acceleration at a height equal to radius of...

    Text Solution

    |

  17. The ratio of acceleration due to gravity at a height 3 R above earth's...

    Text Solution

    |

  18. Find the binding energy of a satellite of mass m in orbit of radius r...

    Text Solution

    |

  19. The gravitational acceleration on the surface of earth of radius R and...

    Text Solution

    |

  20. The dimensions of universal gravitational constant are :-

    Text Solution

    |