A) \[x=h\]
B) \[x=2h\]
C) \[x=\frac{h}{2}\]
D) \[x={{h}^{2}}\]
Correct Answer: B
Solution :
The value of g at the height h from the surface of earth \[{g}'=g\,\left( 1-\frac{2h}{R} \right)\] The value of g at depth x below the surface of earth \[{g}'=g\,\left( 1-\frac{x}{R} \right)\] These two are given equal, hence \[\left( 1-\frac{2h}{R} \right)=\left( 1-\frac{x}{R} \right)\] On solving, we get \[x=2h\]
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