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Comparing g at a height and at a depth below the surface

This type of question, asked 6 times: 2021 Paper 23, 2021 Paper 26, 29 Jul 2022, 31 Jan 2023, 29 Jan 2024, 5 Apr 2026 S1. All 6 questions below, oldest first.

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  1. Question 1

    2021 Paper 23

    20
    If RER_{E} be the radius of Earth, then the ratio between the acceleration due to gravity at a depth ' rr ' below and a height ' rr ' above the earth surface is: (Given: r<REr <R_{E} )

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  2. Question 2

    2021 Paper 26

    27
    In the reported figure of earth, the value of acceleration due to gravity is same at point AA and CC but it is smaller than that of its value at point BB (surface of the earth). The value of OA:ABOA:AB will be x:yx:y. The value of xx is
  3. Question 3

    29 Jul 2022

    22
    If the acceleration due to gravity experienced by a point mass at a height hh above the surface of earth is same as that of the acceleration due to gravity at a depth αh(h<<Re\alpha h\left( h < <R_{e} \right. ) from the earth surface. The value of α\alpha will be (use Re=6400 kmR_{e}= 6400\text{ }km )
  4. Question 4

    31 Jan 2023

    19
    At a certain depth "d " below surface of earth, value of acceleration due to gravity becomes four times that of its value at a height 3R3R above earth surface. Where RR is Radius of earth (Take R=6400 kmR = 6400\text{ }km ). The depth dd is equal to

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  5. Question 5

    29 Jan 2024

    17
    At what distance above and below the surface of the earth a body will have same weight, (take radius of earth as R.)

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  6. Question 6

    5 Apr 2026 S1

    3
    When one moves from a point 16 km below the earth's surface to a point 16 km above the earth's surface. The change in g is approximately α%\alpha\%. The value of α\alpha is ____\_\_\_\_ . (Take radius of the earth =6400 km= 6400\text{ }km.)

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