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)

Options

A. x=h
B. `x=(h)/(2)`
C. x=2h
D. `x=h^(2)`

Answer

C

Explanation

`g_(h)=g[1-(2h)/(R )]` and `g'_(x)=g[1-(x)/(R )]`
`therefore 1-(2h)/(R )=1-(x)/(R ) " " therefore x = 2h`