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Correct option is A)

For r=0 to r=R, g varies as a straight line.

Substituting $M=ρ(4πR_{3})/3$ in the expression for g, we get, $g=Gx4πρ/3⟹(g/x)=4Gπρ/3$.

We also know that G/x gives the slope of the straight line.

Hence slope is proportional to the density of the object

The correct option is (a)

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