Question

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. $\frac{4n^{2}h^{2}}{\pi^{2}m^{2}r^{3}}$
• D. $\frac{4n^{2}h^{2}}{4\pi^{2}m^{2}r^{3}}$

Answer 1

Answer: (A)

$\frac{n^{2}h^{2}}{4\pi^{2}m^{2}r^{3}}$

Answer 2

$mvr = \frac{nh}{2\pi}$ ⇒ $v = \frac{nh}{2\pi mr}$ ⇒ $\frac{v^{2}}{r} = \frac{n^{2}h^{2}}{4\pi^{2}m^{2}r^{3}}$.