Question

The time taken by the electron in one complete revolution in the $n^{\text{th }}$ Bohr's orbit of the hydrogen atom is

• A. Inversely proportional to $n^2$
• B. Directly proportional to $n^3$
• C. Directly proportional to $\frac{h}{2\pi }$
• D. Inversely proportional to $\frac{n}{h}$

Answer 1

Answer: (B)

Time period $=\frac{\text{ circumference }}{\text{ velocity }}=\frac{2\pi r}{v_n}$
$=\frac{n^3}{z^2}\times 1.5\times 10^{-16}$ seconds
Time period $\propto n^3$