Physics - Gravitation Question with Solution | TestHub

Distance between the surface of the spherical bodies $=12R-R-2R=9R$ Force $\propto$ Mass, Acceleration $\propto$ Mass, Distance $\propto$ Acceleration $$\begin{array}{rl}& \Rightarrow \frac{{\mathrm{a}}_1}{{\mathrm{a}}_2}=\frac{\mathrm{M}}{\mathrm{SM}}=\frac{1}{5}\Rightarrow \frac{{\mathrm{S}}_1}{{\mathrm{S}}_2}=\frac{1}{5}\Rightarrow {\mathrm{S}}_2=5{\mathrm{S}}_1\\ & {\mathrm{S}}_1+{\mathrm{S}}_2=9\Rightarrow 6{\mathrm{S}}_1=9\Rightarrow {\mathrm{S}}_1=\frac{9}{6}=1.5,\end{array}$$ Note: Maximum distance will be travelled by smaller bodies due to the greater acceleration caused by the same gravitational force