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The attractive potential for an atom is given by \( \mathrm{V}=\mathrm{V}_{0} \ln \left(\mathrm{r} / \mathrm{r}_{0}\right), \mathrm{v}_{0} \) and \( \mathrm{r}_{0} \) are constant and \( \mathrm{r} \) is the radius of the orbit. The radius \( r \) of the \( \mathrm{n}^{\text {th }} \) Bohr's orbit depends upon principal quantum number \( \mathrm{n} \) as :
\( \mathrm{P} \)
(A) \( r \propto n \)
(B) \( \mathrm{r} \propto 1 / \mathrm{n}^{2} \)
\( (\mathrm{C}) \mathrm{r} \propto \mathrm{n}^{2} \)
(D) \( \mathrm{r} \propto 1 / \mathrm{n} \)
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