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Height at which g (or weight) becomes a given fraction of its surface value

The same question, asked 5 times: 2 May 2023 S1*, 3 May 2023 S2*, 4 May 2023 S1*, 10 May 2023 S2*, 12 May 2024 S1. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S1

    6
    The height above the earth's surface at which the acceleration due to gravity becomes 1n\frac{1}{n} times the value at the surface is (R=R = radius of earth)

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  2. Question 2

    3 May 2023 S2

    15
    The height at which the weight of the body becomes 116\frac{1}{16}th of its weight on the surface of the earth of radius 'RR' is

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  3. Question 3

    4 May 2023 S1

    40
    The height hh above the earth's surface at which the value of acceleration due to gravity (g) becomes g3\frac{g}{3} is (R=R = radius of the earth)

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  4. Question 4

    10 May 2023 S2

    5
    The height 'h' from the surface of the earth at which the value of 'g' will be reduced by 64% than the value at surface of the earth is (R = radius of the earth)

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  5. Question 5

    12 May 2024 S1

    27
    The height at which the weight of the body becomes 19\frac{1}{9}th its weight on the surface of earth is (R=R = radius of earth)

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