Q. The acceleration of electron in the first orbit of hydrogen atom is
A) $\frac{{4\pi}^{2}m}{h^{3}}$
B) $\frac{h^{2}}{{4\pi}^{2}mr}$
C) $\frac{h^{2}}{{2\pi}^{2}m^{2}r^{3}}$
D) $\frac{m^{2}h^{2}}{{4\pi}^{2}r^{3}}$
Explanation
(c) From $mvr = \frac{nh}{2\pi}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ v\ = \frac{nh}{2\pi mr}$
Acceleration, $\ \ \ a =$ $\frac{v^{2}}{r}$ = $\frac{n^{2}h^{2}}{4\pi^{2}m^{2}r^{3}}$
= $\frac{h^{2}}{4\pi^{2}m^{2}r^{3}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (n = 1)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.