A) \[gd=g\left\{ 1-\frac{d}{R} \right\}\]
B) \[gd=g\left\{ 1-\frac{2d}{R} \right\}\]
C) \[{{g}_{d}}=g\]
D) \[gd=g\left\{ 1+\frac{d}{R} \right\}\]
Correct Answer: A
Solution :
The acceleration due to gravity at a depth d below the earths surface \[{{g}_{d}}=g\left[ 1-\frac{d}{R} \right]\]
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