Question

A hydrogen atom is excited to \( n = 4 \). Find the potential energy of the electron in excited state.

• A. \(-0.85\ \text{eV}\)
• B. \(+0.85\ \text{eV}\)
• C. \(-1.7\ \text{eV}\)
• D. \(+1.7\ \text{eV}\)

Hint:

Use \( U = -2E = -2 \cdot 13.6/n^2 \) in hydrogen atom.

Answer 1

The Correct Option is C

Potential energy in hydrogen atom: \[ U = - \frac{2 \cdot 13.6}{n^2} = - \frac{27.2}{16} = -1.7\ \text{eV} \]