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How much above the surface of earth does...

How much above the surface of earth does the accelration due to gravity reduces by `64%` of its value on the earth. Radius of earth `= 6400 km`.

Text Solution

Verified by Experts

`g' = g(1 - (d)/(R )) of d = ((g - g')R)/(g)`,
For case (i) `g' = (36)/(100) g` and
For case (ii), `g' = g - (36)/(100) g = (64)/(100) g`
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Knowledge Check

  • How much below the surface of Earth does the acceleration due to gravity become 70% of its value on the surface of Earth. Radius of Earth = 6.4 xx 10^(6) m .

    A
    `0.6 xx 10^(7) m`
    B
    `1.92 xx 10^(6) m`
    C
    `1.1 xx 10^(4) m`
    D
    `8 xx 10^(4) m`