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If the earth is assumed to be a sphere of radius R, the height above the surface of the earth where the value of the acceleration due to gravity will be half its value on the earth's surface is

A

`h=R/2`

B

`h=R/sqrt(2)`

C

`h=(sqrt(2)+1)R`

D

`h=(sqrt(2)-1)R`

Text Solution

Verified by Experts

The correct Answer is:
D
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