Solveeit Logo
Login

Question

Question: The speed of an electron in the orbit of hydrogen atom in ground state is –...

The speed of an electron in the orbit of hydrogen atom in ground state is –

A

c

B

c/10

C

c/2

D

c/137

Answer

c/137

Explanation

Solution

(v1)H = e22hε0\frac{e^{2}}{2h\varepsilon_{0}} = c×e22hcε0\frac{e^{2}}{2hc\varepsilon_{0}}ca

where, a=e22hcε0\frac{e^{2}}{2hc\varepsilon_{0}}=c137\frac{c}{137}=Fine structure constant

\ (v1)H = c137\frac{c}{137}