Let the acceleration due to gravity be `g_(1)` at a height `h` above the earth's surface `g_(2)` at a depth `d` below the earth's surface. If `g_(1)=g_(2),h lt lt R` and `d lt lt R` then

Options

A. `d=h`
B. `d=(h)/(2)`
C. `d=(h)/(4)`
D. `d=2h`

Answer

d

Explanation

`g_(d)=g_(h)`
`g[1-(d)/(R)]=g[1-(2h)/(R)]`
`1-(d)/(R)=1-(2h)/(R)`
`d=2h`