Question

The energy of the second bohr orbit of the hydrogen atom is $-328 \text{ kJ mol}^{-1}$; hence the energy of the fourth bohr orbit would be:

• A. $ -41 \text{ kJ/mol} $
• B. $ -82 \text{ kJ/mol} $
• C. $ -164 \text{ kJ/mol} $
• D. $ -1312 \text{ kJ/mol} $

Hint:

For hydrogen atom problems based on Bohr’s model, always remember: \[ E_n \propto \frac{1}{n^2} \] If the orbit number becomes twice, the energy becomes one-fourth. Here: \[ 2 \rightarrow 4 \] So, \[ E_4 = \frac{E_2}{4} \] which gives: \[ -328/4 = -82 \]

Answer 1

The Correct Option is B