At what distance from the centre of Earth, the value acceleration due to gravity 'g' will be half that of the surface?

At what distance from the centre of Earth, the value acceleration due

1.	At what distance from the centre of Earth, the value acceleration due to gravity 'g' will be half that of the surface?
Answer» SOLUTION :ACCORDING to acceleration due to gravity ` (G.)/g = (R/(R+h))^(2)` `1/2 = (R/(R+h))^(2) RARR 1/(sqrt(2)) = R/(R+h)` `R + h = sqrt(2)R rArr h = (sqrt(2)-1) R ` ` h = 0.414 R ` Hencedistancefrom centre` = R + 0.414 R = 1.414 R `