The variation of gravitational field intensity $(E_{G})$ due to earth with distance r from the centre of the earth is shown by the curve

Question

Verified by Toppr

Answer 1

The gravitational field intensity at r $\frac{4 π d G r}{3} \to E_{G} α r . Where d is density of earth. So E_{G} is linear with r if r If r>R, E_{G} = \frac{G M}{r ^{2}} \to E_{G} α r^{2} . Hence, if r>R it is parabolic and E_{G} \to 0 when E_{G} \to \infty .$

Answer 2

The gravitational field intensity at r

\frac{4 π d G r}{3} \to E_{G} α r . Where d is density of earth. So E_{G} is linear with r if r If r>R, E_{G} = \frac{G M}{r ^{2}} \to E_{G} α r^{2} . Hence, if r>R it is parabolic and E_{G} \to 0 when E_{G} \to \infty .