The electric potential between a proton and an electron is given by \[V={{V}_{0}}\ln \frac{r}{{{r}_{0}}},\] where \[{{r}_{0}}\] is a constant. Assuming Bohr?s model to be applicable, write variation of \[{{r}_{n}}\] with n, n being the principal quantum number [IIT-JEE (Screening) 2003]

• A.            \[{{r}_{n}}\propto n\]      
• B.            \[{{r}_{n}}\propto 1/n\]
• C.            \[{{r}_{n}}\propto {{n}^{2}}\]                                           
• D.            \[{{r}_{n}}\propto 1/{{n}^{2}}\]