At what depth below the surface of the earth, acceleration due to gravity \( g \) will be half i...

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At what depth below the surface of the earth, acceleration due to gravity \( g \) will be half its value \( 1600 \mathrm{~km} \) above the surface of the earth
[Pb. PMT 2004]
(a) \( 4.2 \times 10^{6} \mathrm{~m} \)
(b) \( 3.19 \times 10^{6} \mathrm{~m} \)
(c) \( 1.59 \times 10^{6} \mathrm{~m} \)
(d) None of these
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