Problem

The electric potential between a proton and an electron is given by

V = V_0 \ln\left(\frac{r}{r_0}\right)

, where

r_0

is a constant. Assuming Bohr model to be applicable, write variation of

r_n

with

n

, being the principal quantum number. (JEE 2003) a.

r_n \propto n

r_n \propto \frac{1}{n}

r_n \propto n^2

r_n \propto \frac{1}{n^2}