The acceleration of an electron in the first orbit ofHydrogen atom is

Arun
25757 Points
4 years ago

Bohr quantisation principle -

$mvr=\frac{nh}{2\pi } \\2\pi r= n\lambda$

- wherein

Angular momentum of an electron in  stationary orbit is quantised.

Acceleration $=\frac{v^{2}}{r}$

$\because\ \;mvr=\frac{nh}{2\pi}\ \; \;\Rightarrow\ \;v=\frac{h}{2\pi mr}(n=1)$

$\therefore\ \; a=\left(\frac{h}{2\pi mr} \right )^{2}.\frac{1}{r}=\frac{h^{2}}{4\pi^{2}m^{2}r^{3}}$