A) \[x=h\]
B) \[x=2h\]
C) \[x=\frac{h}{2}\]
D) \[x={{h}^{2}}\]
Correct Answer: B
Solution :
Variation in g at a height h from earth surface \[g=g\left( 1-\frac{2h}{{{R}_{e}}} \right)\] ?(1) Variation in g at a depth x below earth surface \[g=g\left( 1-\frac{x}{{{R}_{e}}} \right)\] ?(2) Variations arc same \[\begin{align} & \therefore \left( 1-\frac{2h}{{{R}_{e}}} \right)=g\left( 1-\frac{x}{{{R}_{e}}} \right) \\ & \therefore \,x=2h \\ \end{align}\]
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