What is the fractional decrease in the value of free-fall acceleration g for a particle when it is lifted from the surface to an elevation `h`? `(h lt lt R)`

Options

A. `(-h)/(R)`
B. `(-2h)/(R)`
C. `(-3h)/(R)`
D. `(-4h)/(R)`

Answer

B

Explanation

As, `g=(GM)/(R^(2))rArr(dg)/(dR)=(-2GM)/(R^(3))`
`rArr (dg)/(h)=-(2GM)/(R^(2))=(1)/(h)`
`rArrv (dg)/(g)=-2 ((h)/(R))`