Question

If an electron is in n^th orbit in a hydrogen atom, its energy will be proportional to _______.
1. n
2. n²
3. \({1 \over n}\)
4. \({1 \over n^2}\)

Answer 1

Correct Answer - Option 4 : \({1 \over n^2}\)

CONCEPT:

• Every electron revolves around the nucleus in the orbits.
• The nucleus is positively charged and the electrons that revolve around the nucleus are negatively charged, so they attract each other.
• Bohr was the scientist who gave an explanation of Hydrogen.

• Bohr's model of hydrogen is based on the assumption that electrons travel in specific shells, or orbits, around the nucleus.

Bohr's model calculated the energy of an electron revolving on different orbits (n):

E = \(- \frac{13.6}{n^2}\) eV

Where n is the orbit number in which the electron is moving.

EXPLANATION:

• Bohr's model calculated the energy of an electron revolving on different orbits (n):

E = \(- \frac{13.6}{n^2}\) eV

So Electron energy varies as inverse proportional to n2 i.e.

\(E \propto \frac{1}{n^2}\)

Hence the correct answer is option 4.