Home
Class 12
PHYSICS
The change in the value of g at a height...

The change in the value of `g` at a height `h` above the surface of the earth is the same as at a depth d below the surface of earth. When both `d` and `h` are much smaller than the radius of earth, then which one of the following is correct?

A

`d=h`

B

`d=2h`

C

`d=(3h)/2`

D

`d=h//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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 :

Derive the equation of g at depth d below the surface of earth.

Derive the equation for variation of g due to depth below the surface of earth.

What will be the variation of g below and above the surface of earth?

At which height above earth's surface is the value of 'g' same as in a 100 km depp mine ?

Gravitational acceleration increases at depth d from surface of Earth.

The value of 'g' reduces to half of its value at surface of earth at a height 'h', then :-

The change in the gravitational potential energy when a body of a mass m is raised to a height nR above the surface of the earth is (here R is the radius of the earth)

The gravitation force exerted on rocket a time to height h from the surface of earth is 1/3 time to the gravitation force exerted at the surface of sea. Then obtain the relation between h and R_e (radius of earth).

At which place on the surface of the earth the value of g is maximum ? Gives its reasons.

ALLEN -GRAVITATION-EXERCISE 1
  1. The mass of moon 1% of mass of earth. The ratio of gravitational pull ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The gravitational potential energy is maximum at :

    Text Solution

    |

  13. A missile is launched with a velocity less than the escape velocity. T...

    Text Solution

    |

  14. A body attains a height equal to the radius of the earth when projecte...

    Text Solution

    |

  15. The gravitational potential energy of a body at a distance r from the ...

    Text Solution

    |

  16. A particle falls towards the earth from inifinity. The velocity with w...

    Text Solution

    |

  17. A projectile of mass m is thrown vertically up with an initial velocit...

    Text Solution

    |

  18. Two small and heavy spheres, each of mass M, are placed a distance r a...

    Text Solution

    |

  19. An artificial satellite moving in a circular orbit around the earth ha...

    Text Solution

    |

  20. A particle of mass m is moving in a horizontal circle of radius R unde...

    Text Solution

    |