Two sphere of radius $R_1$ and $R_2$ have densities ${\rho _1}$ and ${\rho _2}$ and specific heat $S_1$ and $S_2$ if they are heated to the same temperature the ratio of their rates of falling temperature will be
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$\mathrm{R}_{\mathrm{F}}=\frac{\mathrm{d} \theta}{\mathrm{dt}}=\frac{\sigma \mathrm{A}}{\mathrm{MSJ}}\left(\mathrm{T}^{4}-\mathrm{T}_{0}^{4}\right)$
$\mathrm{R}_{\mathrm{F}} \propto \frac{\mathrm{A}}{\mathrm{MS}} \propto \frac{\mathrm{A}}{\mathrm{V} \rho \mathrm{S}} \times \frac{1}{\mathrm{R} \rho \mathrm{S}}$
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