Question

Calculate velocity of electron in first Bohr orbit of hydrogen atom $(Given,r=a_0)$.

Answer 1

Velocity of electron in first Bohr orbit of $H$- atom

$mvr=\frac{nh}{2\pi }$, $r=a_0=0.529\stackrel{o}{A}$

$n=1,h=6.626\times {10}^{-26},m=9.1\times {10}^{-31}kg$

$\therefore v=\frac{1\times 6.626\times {10}^{-26}}{2\pi \times 91\times {10}^{-31}\times 0.529\times {10}^{-10}}$

$=2.18\times {10}^{6}m{s}^{-1}$.