First slide
Variation of g
Question

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then

Moderate
Solution

The acceleration due to gravity at a height  h  is given as

gh=g1-2hRe

 where Re is radius of earth. 

The acceleration due to gravity at a depth  d  is given as 

gd=g1-dRe

 Given, gh=gd

g1-2hRe=g1-dRe

  d=2h=2×1=2 km               (h=1 km)

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