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)

What is the fractional decrease in the value of free-fall acceleration

1.	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)
Answer» `(-h)/(R)` `(-2h)/(R)` `(-3h)/(R)` `(-4h)/(R)` Solution :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))`