Modern Physics 1 Question 44
41. In the Bohr model of the hydrogen atom, the ratio of the kinetic energy to the total energy of the electron in a quantum state $n$ is
(1992, 1M)
Integer Answer Type Questions
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Solution:
- Kinetic energy of an electron in $n$th orbit of hydrogen atom is $K=\frac{m e^{4}}{8 \varepsilon _0^{2} h^{2} n^{2}}$ and total energy of electron in $n$th orbit is
$$ E=-\frac{m e^{4}}{8 \varepsilon _0^{2} h^{2} n^{2}}, \frac{K}{E}=-1 $$
or
$$ K=-E $$
