Rankers Physics

Atomic Structure: Practice Problem & Solution

20. 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? (2011 Mains)
1.9 eV
11.1 eV
13.6 eV
0.65 eV

Solution Explained:

To solve this problem, we apply the core principles of Atomic Structure. Understanding the underlying formula is key to arriving at the correct answer below:

Energy levels of H-atom are $-13.6 eV$, $-3.4 eV$, $-1.51 eV$, $-0.85 eV$, etc. Possible photon energies are differences between these: $E_3-E_2 = 1.89 \approx 1.9 eV$, $E_4-E_3 = 0.66 \approx 0.65 eV$, $E_{\infty}-E_1 = 13.6 eV$. There is no transition corresponding to $11.1 eV$.

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