The electric potential between a proton and an electron is given by V = V0 ln \(\left(\frac{\mathbf{r}}{\mathbf{r}_{0}}\right)\) where r0 is a constant. Assume that Bohr atom model is applicable to potential, then variation of radius nth orbit rn with the principal quantum number n is
A. rn α \(\frac{1}{\mathrm{n}}\)
B. rn α n
C. rn α \(\frac{1}{n^{2}}\)
D. rn α n2
Answer:B
The electric potential between a proton and an electron is given by V = V0 ln \(\left(\frac{\mathbf{r}}{\mathbf{r}_{0}}\right)\) where r0 is a constant. Assume that Bohr atom model is applicable to potential, then variation of radius nth orbit rn with the principal quantum number n is
A. rn α \(\frac{1}{\mathrm{n}}\) B. rn α n C. rn α \(\frac{1}{n^{2}}\) D. rn α n2