Question

Out of the following which one is not a possible energy for a photon to be emitted by hydrogen atom according to Bohr’s atomic model?

• A. 0.65 eV
• B. 1.9 eV
• C. 11.1 eV
• D. 13.6 eV

Answer 1

Answer: (C)

11.1 eV

Answer 2

The energy of nth orbit of hydrogen atom is given as

$E_{n} = \frac{13.6}{n^{2}}eV$

$\therefore E_{1} = - 13.6eV$

$E_{2} = - \frac{13.6}{2^{2}} = - 3.4eV$

$E_{3} = - \frac{13.6}{3^{2}} = - 1.5eV$

$E_{4} = - \frac{13.6}{4^{2}} = - 8.85eV$

$\therefore E_{3} - E_{2} = - 1.5 - ( - 3.4) = 1.9eV$

$E_{4} - E_{3} = - 0.85 - ( - 1.5) = 0.65eV$