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If two identical spherical bodies of same material and dimensions are kept in contact, the gravitational force between them is proportional to $\mathrm{R}^{\mathrm{X}}$, where $\mathrm{x}$ is non zero integer
[Given : $\mathrm{R}$ is radius of each spherical body]
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[Given : $\mathrm{R}$ is radius of each spherical body]
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$\begin{aligned} F & =\frac{G \times m \times m}{(2 R)^2}=\frac{G \times\left(\frac{4}{3} \pi R^3 \rho\right)^2}{4 R^2} \\ & =\frac{4}{9} \pi^2 \rho^2 R^4 \\ \therefore \quad F & \propto R^4\end{aligned}$
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