If \( R \) is the radius of the earth and \( g \) the acceleration due to gravity on the earth's...

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If \( R \) is the radius of the earth and \( g \) the acceleration due to gravity on the earth's surface, the mean density of the earth is
[CPMT 1990; CBSE PMT 1995; BHU 1998;
MH CET (Med.) 1999; Kerala PMT 2002; Odisha JEE 2009]
(a) \( 4 \pi G / 3 g R \)
(b) \( 3 \pi R / 4 g G \)
(c) \( 3 g / 4 \pi R G \)
(d) \( \pi R G / 12 G \)
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