Starting from the centre of the earth having radius R, the variation of (acceleration due to gravity) is shown by [2016]

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Solution

Q.
Starting from the centre of the earth having radius R, the variation of $g$ (acceleration due to gravity) is shown by [2016]

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Ans.
(2)

Acceleration due to gravity is given by

$g = {\begin{matrix} \frac{4}{3} π ρ G r; & r \leq R \\ \frac{4}{3} \frac{π ρ R^{3} G}{r^{2}}; & r > R \end{matrix}$

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