In which case will the decreases in the value of the acceleration due to gravity be greater (with respect to that on the earth's surface) -at 1 km above the earth's surface or 1 km below the earth's surface ?

Explanation

Let radius of the earth=R
Value of acceleration due to gravity on the earth =g
Decrease in g at a height `h=(2hg)/R` ……..(1)
and decrease in g at a depth `h=(hg)/R`……….(2)
Comparing the two equations, it can be concluded that the decrease in the acceleration due to gravity at a height 1 km above the earth.s surface will be greater.