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