Question

Which of the following expression represents the energy of electron in a hydrogen atom?

• A. $E = \frac{2\pi^{2}me^{4}}{h^{2}} \frac{1}{n^{2}}$
• B. $E = \frac{4\pi^{2}me^{2}}{h^{2}} \frac{1}{n^{2}}$
• C. $E = -\frac{2\pi^{2}me^{4}}{h^{2}} \frac{1}{n^{2}}$
• D. $E = -\frac{4\pi^{2}me^{2}}{h^{2}} \frac{1}{n^{2}}$

Answer 1

Answer: (C)

The energy of an electron in the $n^{th}$ orbit of hydrogen is given by $E_{n}=\frac{-2\pi^{2}me^{4}}{n^{2}h^{2}}$