Question

If the radius of the earth is $R$ , then the height $h$ at which the value of $g$ becomes one-fourth, will be

• A. $\frac{R}{8}$
• B. $R$
• C. $\frac{3R}{4}$
• D. $\frac{R}{2}$

Answer 1

Answer: (B)

$g^{{}^{\prime }}=\frac{g}{(1+\frac{h}{R}{)}^2}=\frac{g}{4}$
$1+\frac{h}{R}=2$
$\Rightarrow h=R$