Physics - Gravitation Question with Solution | TestHub

The acceleration due to gravity at a distance $x(x<R)$ from centre of earth

$$\begin{gathered} g\text{'}=g\frac{x}{R} \\ \Rightarrow g\text{'}=g\frac{{\displaystyle \raisebox{1ex}{$R$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}}{R}=\frac{g}{2} \end{gathered}$$