Modern Physics 1 Question 45
42. An electron in a hydrogen atom undergoes a transition from an orbit with quantum number to another with quantum number and are respectively the initial and final potential energies of the electron. If , then the smallest possible is
(2017 Adv.)
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Solution:
- Potential energy of hydrogen atom
in th orbit (in )
$$ \begin{aligned} PE & =-\frac{27.2}{n^{2}} \ \frac{v _f}{v _i} & =\frac{-\frac{27.2}{n _f^{2}}}{-\frac{27.2}{n _i^{2}}}=\frac{1}{6.25} \