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Q. A single electron orbits around a stationary nucleus of charge +ze, where $z$ is a constant and $e$ is the magnitude of electronic charge. It requires $47.2 eV$ to excite the electron from the second Bohr orbit to the third Bohr orbit
The energy required to excite the electron from the third to the fourth orbit

Atoms

Solution:

$E _{4}- E _{3}=13.6 z ^{2}\left[\frac{1}{9}-\frac{1}{16}\right]$
$=13.6 \times 25 \times \frac{7}{9 \times 16}=16.53 eV$