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Q.

The acceleration due to gravity at a depth of 1600 km inside the earth $(R_{e} = 6400 k m)$

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a

0

b

$9.8 m / s^{2}$

c

$7.35 m / s^{2}$

d

$7 m / s^{2}$

answer is D.

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Detailed Solution

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The value of g at a depth d is given by:
$g^{'} = g (1 - \frac{d}{R}) = 9.81 (1 - \frac{1600}{6400}) = 9.81 \times (\frac{3}{4}) = 7.35 {ms}^{- 2}$

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The acceleration due to gravity at a depth of 1600 km inside the earth (Re=6400km)