The value of ' \( g \) ' at a particular point is \( 9.8 \mathrm{~m} / \mathrm{s}^{2} \). Suppos...

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The value of ' \( g \) ' at a particular point is \( 9.8 \mathrm{~m} / \mathrm{s}^{2} \). Suppose the earth suddenly shrinks uniformly to half its present size without losing any mass. The value of ' \( g \) ' at the same point (assuming that the distance of the point from the centre of earth does not shrink) will now be
[NCERT 1984; DPMT 1999]
(a) \( 4.9 \mathrm{~m} / \mathrm{sec}^{2} \)
(b) \( 3.1 \mathrm{~m} / \mathrm{sec}^{2} \)
(c) \( 9.8 \mathrm{~m} / \mathrm{sec}^{2} \)
(d) \( 19.6 \mathrm{~m} / \mathrm{sec}^{2} \)
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