Question

According to Bohr's model, relation between the radius of an orbit and principal quantum number is

• A. $r \propto \frac{1}{n}$
• B. $r \propto \frac{1}{n^2}$
• C. $r \propto n$
• D. $r \propto n^2$

Answer 1

Answer: (D)

$r \propto n^2$

Answer 2

Radius of a Bohr's orbit is given by $r = \frac{n^{2}h^{2}}{4\pi^{2} mkZe^{2}} \quad\left({\text{where}} , k = \frac{1}{4\pi\varepsilon_{0}}\right)$ $\therefore r \propto n^{2}$