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Question: The energy of a hydrogen atom in its ground state is \(- 13.6\mspace{6mu} eV\). The energy of the le...

The energy of a hydrogen atom in its ground state is 13.66mueV- 13.6\mspace{6mu} eV. The energy of the level corresponding to the quantum number n = 2 (first excited state) in the hydrogen atom is.

A

– 2.72 eV

B

– 0.85 eV

C

– 0.54 eV

D

– 3.4 eV

Answer

– 3.4 eV

Explanation

Solution

En=13.6n2=13.64=3.4eVE_{n} = \frac{- 13.6}{n^{2}} = \frac{- 13.6}{4} = - 3.4 ⥂ eV.