Assuming that the earth is a sphere of radius \( R_{E} \) with uniform density, the distance fro...

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Assuming that the earth is a sphere of radius \( R_{E} \) with uniform density, the distance from its centre at which the acceleration due to gravity is equal to \( \frac{g}{3} \quad(g \) is the acceleration due to gravity on the surface of earth) is
[J \& K CET 2010]
(a) \( \frac{R_{E}}{3} \)
(b) \( \frac{2 R_{E}}{3} \)
(c) \( \frac{R_{E}}{2} \)
(d) \( \frac{R_{E}}{4} \)
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