Question

If acceleration of electron in 1st orbit of He+ is 'a', find the acceleration of electron in 2nd orbit of Be3+.

Answer 1

Orbital Angular Momentum

$\sf \small mvr = \frac{nh}{2\pi} \: \: \: \: (n = 1)$

$\sf \small mvr = \frac{h}{2\pi}$

$\sf \small v = \frac{m}{2\pi hr}$

$\sf \small (v)^{2} =( \frac{m}{2\pi hr})^{2}$

$\sf \small a = \frac{ {v}^{2} }{r} = \frac{ {h}^{2} }{4 {\pi}^{2} {m}^{2} {r}^{3} }$