A) h=R
B) h=4R
C) h=2R
D) n=16R where, R is the radius of the earth.
Correct Answer: A
Solution :
Given, \[g=\frac{g}{4}\] We know that is acceleration due to gravity at height h from the surface of the earth \[g=g{{\left[ \frac{R}{R+h} \right]}^{2}}\] Hence \[\frac{g}{4}=g{{\left[ \frac{R}{R+h} \right]}^{2}}\] \[\left( \because g=\frac{g}{4} \right)\] \[\frac{R}{R+h}=\frac{1}{8}\] \[R+h=8R\] \[h=7R\]
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