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) $\frac{h^{2}}{4\pi^{2}m^{2}r^{3}}$
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, $a = \frac{v^{2}}{r} = \frac{n^{2}h^{2}}{4\pi^{2}m^{2}r^{2}(r)} = \frac{h^{2}}{4\pi^{2}m^{2}\mu^{3}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.