Home
Class 12
PHYSICS
The acceleration due to gravity g and me...

The acceleration due to gravity g and mean density of earth `rho` are related by which of the following relations ?
(G = gravitational constant and R = radius of earth)

A

`rho=(4 pi gR^(2))/(3G)`

B

`rho=(4pi gR^(3))/(3G)`

C

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

D

`rho=(3g)/(4 pi GR^(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Acceleration due to gravity at the centre of the earth is :-

What is value of acceleration due to gravity (g) at the centre of earth?

Acceleration due to gravity is independent of mass of the earth/mass of the body.

How is acceleration due to gravity affected by rotation of earth about its axis ?

Where does the acceleration due to gravity is larger, equator or poles of the earth? Why?

The acceleration due to gravity at a height 1km above the earth is the same as at a depth d below the surface of earth. Then :

What is the acceleration due to gravity on the surface of a planet that has twice the mass and radius of the earth?

The height at which the acceleration due to gravity becomes g/9 in terms of R. The radius of the earth is

The imaginary angular velocity of the earth for which the effective acceleration due to gravity at the equator shall be zero is equal to [Take g = 10 m//s^(2) for the acceleration due to gravity if the earth were at rest and radius of earth equal to 6400 km.]

The condition for a uniform spherical mass m of radius r to be a black hole is ..... (G = gravitational constant and g = acceleration due to gravity)

ALLEN -GRAVITATION-EXERCISE 1
  1. Diameter and mass of a planet is double that earth. Then time period o...

    Text Solution

    |

  2. Gravitation on moon is (1)/(6) th of that on earth. When a balloon fil...

    Text Solution

    |

  3. The acceleration due to gravity g and mean density of earth rho are re...

    Text Solution

    |

  4. Will 1 kg sugar be more at poles or at the equator?

    Text Solution

    |

  5. When you move from equator to pole, the value of acceleration due to g...

    Text Solution

    |

  6. When the radius of earth is reduced by 1% without changing the mass, t...

    Text Solution

    |

  7. Weight of a body of mass m decreases by 1% when it is raised to height...

    Text Solution

    |

  8. Acceleration due to gravity at earth's surface if 'g' m//s^(2). Find t...

    Text Solution

    |

  9. The mass of moon 1% of mass of earth. The ratio of gravitational pull ...

    Text Solution

    |

  10. Imagine a new planet having the same density as that of earth but 3 ti...

    Text Solution

    |

  11. The change in the value of g at a height h above the surface of the ea...

    Text Solution

    |

  12. If the speed of rotation of earth about its axis increases, then the w...

    Text Solution

    |

  13. A body weighs W newton at the surface of the earth. Its weight at a he...

    Text Solution

    |

  14. The imaginary angular velocity of the earth for which the effective ac...

    Text Solution

    |

  15. A particle falls on earth : (i) from infinity. (ii) from a height 10...

    Text Solution

    |

  16. Two different masses are droped from same heights. When these just str...

    Text Solution

    |

  17. By which curve will be variation of gravitational potential of a hollo...

    Text Solution

    |

  18. Gravitational potential difference between surface of a planet and a p...

    Text Solution

    |

  19. If M(e) is the mass of earth and M(m) is the mass of moon (M(e)=81 M(m...

    Text Solution

    |

  20. The gravitational potential energy is maximum at :

    Text Solution

    |