Question

The ratio of kinetic energy and the total energy of the electron in the nth quantum state of Bohr's atomic model of hydrogen atom is

• A. $-2$
• B. $-1$
• C. $+2$
• D. $+1$

Answer 1

Answer: (B)

$-1$

The kinetic energy of the electron in the nth state
$K=\frac{m{Z}^2{e}^4}{8{\epsilon }_0^2{h}^2{n}^2}$
The total energy of the electron in the nth state
$T=\frac{-m{Z}^2{e}^4}{8{\epsilon }_0^2{h}^2{n}^2}$
$\therefore \frac{K}{T}=-1$