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  4. An electron collides with a hydrogen atom in its ground state and excites it to n=3 . The energy given to hydrogen atom in this inelastic collision is [Neglect the recoiling of hydrogen atom]

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Q. An electron collides with a hydrogen atom in its ground state and excites it to $ n=3 $ . The energy given to hydrogen atom in this inelastic collision is [Neglect the recoiling of hydrogen atom]

JamiaJamia 2011

Solution:

The energy taken by hydrogen atom corresponds to its transition from $ n=1 $ to $ n=3 $ state. $ \Delta E=13.6\left( 1-\frac{1}{9} \right) $ $ =13.6\times \frac{8}{9}=12.1\,eV $