Home
Class 11
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)/(2)`

B

`d=(3h)/2`

C

d=2h

D

d=h

Text Solution

Verified by Experts

The correct Answer is:
C
`g[1-d/R]=g[1-(2h)/R] ` or d =2h
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    RESONANCE|Exercise Exercise|63 Videos

  • HEAT TRANSFER

    RESONANCE|Exercise Advancel Level Problems|17 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

RESONANCE-GRAVITATION-Exercise
  1. The height of the point vertically above the earth's surface, at which...

    Text Solution

    |

  2. A satellite with kinetic energy E(k) is revolving round the earth in a...

    Text Solution

    |

  3. Two particles of equal mass (m) each move in a circle of radius (r) un...

    Text Solution

    |

  4. With what angular velocity the earth should spin in order that a body ...

    Text Solution

    |

  5. Which of the following graphs represents the motion of the planet movi...

    Text Solution

    |

  6. The orbital velocity of an satellite in a circular orbit just above th...

    Text Solution

    |

  7. Maximum height reached by a rocket fired with a speed equal to 50% of...

    Text Solution

    |

  8. A geostationary satellite is one

    Text Solution

    |

  9. The period of a satellite in a circular orbit of radius R is T, the pe...

    Text Solution

    |

  10. Energy required to move a body of mass m from an orbit of radius 2R to...

    Text Solution

    |

  11. A satellite of mass m revolves around the earth of radius R at a hight...

    Text Solution

    |

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

    Text Solution

    |

  13. Three particles each of mass m are kept at the vertices of an euilater...

    Text Solution

    |

  14. A planet is revolving around the sun in an elliptical orbit. Which out...

    Text Solution

    |

  15. According to Kepler's second law, the radius vector to a planet from t...

    Text Solution

    |

  16. Two artificial satellites of the same mass are moving around the earth...

    Text Solution

    |

  17. Two satellities s(1) a & s(2) of equal masses revolves in the same sen...

    Text Solution

    |

  18. Radius of the earth is R and the mean density is rho. Find out the gra...

    Text Solution

    |

  19. A body which is initially at rest at a height R above the surface of t...

    Text Solution

    |

  20. A tunnel is dug along the diameter of the earth. There is particle of ...

    Text Solution

    |