Question

Prove that gravity decrease with increase in depth inside earth

Answer 1

Gravity decreses because by increasing depth effective mass of the earth decreses ...
And there fore gravity decreases with increasing depth ...
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Answer 2

 If we consider the density of earth to be uniform the mass of the earth at some radius 'R' should be equal to 4/3πR^3 into the density. If we substitute this mass in the formula which give acceleration due to gravity which is GM/R^2 the factor of R^2 gets cancelled. Giving us acceleration due to gravity equal to 4/3πR*(density). At the surface of the earth this value will be maximum because R will be max. When R becomes less ( i.e when depth increases) this value also decreases. Hence, acceleration due to gravity decreases with increase in depth