Question

The potential of an atom is given by $V=Vo\ log_e (\frac {r}{r_o})$, where $r_o$ is a constant and $r$ is the radius of the orbit. Assuming Bohr's model to be applicable, which variation of $r_n$ with $n$ is possible ($n$ being principal quantum number)?

• A. $r_n∝n$
• B. $r_n∝\frac 1n$
• C. $r_n∝n^2$
• D. $r_n∝\frac {1}{n^2}$

Answer 1

Answer: (A)

$r_n∝n$

Answer 2

The correct option is (A): $r_n∝n$.