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 = h/2

D

`d=h^(2)`

Text Solution

Verified by Experts

The correct Answer is:
b
`g_(h)=g_(d)`
`therefore" "1-(2h)/(R)=1-(d)/(R)" "therefore d=2h`
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 the change in the value of g at a height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth)

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

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 :

If the change in the value of g at a height h above the surface of earth is the same as at a depth d below it (both h and d are much smaller than the radius of the earth), then

The acceleration due to gravity at a height h above the surface of the earth has the same value as that at depth d= ____below the earth surface.

lf change in the value of g at a depth d below the surface of the earth is equal to that on the surface of the earth at latitude of angle phi , then,

The value of g at a certain height h above the free surface of the earth is x//4 where x is the value of g at the surface of the earth. The height h is

NIKITA PUBLICATION-GRAVITATION-Multiple Choice Questions
  1. At present the acceleration due to gravity at latitude 45^(@) on earth...

    Text Solution

    |

  2. Assuming that the earth is a sphere of uniform mass density, what is t...

    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 value of g at the surface of the earth is 9.8 m//sec^(2), then ...

    Text Solution

    |

  5. The mass and diameter of a planet have twice the value of the correspo...

    Text Solution

    |

  6. If R is the radius of the earth and g the acceleration due to gravity ...

    Text Solution

    |

  7. The value of g on the earth's surface is 980 cm//sec^(2) . Its value a...

    Text Solution

    |

  8. The depth d, at which the value of acceleration due to gravity becomes...

    Text Solution

    |

  9. If the radius of the earth shrinks by 1.5% (mass remaining same), then...

    Text Solution

    |

  10. If the radius of the earth was half of its present value and its mass ...

    Text Solution

    |

  11. A thief jumps from the upper storey of a house with a load on this bac...

    Text Solution

    |

  12. Two planets have radii r(1) and 2r(1) and densities are rho(1) and 4rh...

    Text Solution

    |

  13. The mass of earth is 80 times that of moon. Their diameters are 12800 ...

    Text Solution

    |

  14. The value of G was successfully determined for the first time in the l...

    Text Solution

    |

  15. The minimum number of communication satellites necessary for intercont...

    Text Solution

    |

  16. If a graph is plotted between T^(2) and r^(3) for a planet, then its s...

    Text Solution

    |

  17. An object falls through a distance h in certain time on the earth. The...

    Text Solution

    |

  18. Average density of the earth

    Text Solution

    |

  19. The acceleration due to gravity on a planet of mass 10^(25) Kg and rad...

    Text Solution

    |

  20. The identical metal spheres of radius 10 cm are in contact with each o...

    Text Solution

    |