Question

The energy of hydrogen atom in its ground state is $-13.6eV$. The energy of the level corresponding to $n=5$ is:

• A. $-0.54eV$
• B. $-5.40eV$
• C. $-0.85eV$
• D. $-2.72eV$

Answer 1

The correct option is A $-0.54eV$

For a hydrogen atom, the energies that an electron can have are given by the expression, $E=-\frac{13.6}{n^2}eV$, where n is an integer.
For fifth energy level, $n=5$
$E_5=-\frac{13.6}{5^2}eV=-0.54eV$.