If the value of ' \( g \) ' acceleration due to gravity, at earth surface is \( 10 \mathrm{~m} /...

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If the value of ' \( g \) ' acceleration due to gravity, at earth surface is \( 10 \mathrm{~m} / \mathrm{s}^{2} \), its value in \( \mathrm{m} / \mathrm{s}^{2} \) at the centre of the earth, which is assumed to be a sphere of radius ' \( R \) ' metre and uniform mass density is
[AIIMS 2002]
(a) 5
(b) \( 10 / R \)
(c) \( 10 / 2 R \)
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