8. A hydrogen atom initially in its ground state (n = 1) absorbs a photon and transitions to the n = 3 level.

A) What must have been the frequency of the absorbed photon?

B) What will be the energy of the electron at the third energy level (n = 3)?

C) If the electron makes a spontaneous emission and returns to its ground state, what are the possible frequencies of the photons emitted during this process?



Answer :

Final answer:

This detailed answer explains how to calculate the frequency of absorbed photons, electron energy at specific levels, and possible emission frequencies in hydrogen atoms.


Explanation:

A) The frequency of the absorbed photon can be calculated using the formula E = hf, where E is the energy difference between the initial and final states, h is the Planck constant, and f is the frequency of the photon.

B) The energy of the electron at the third energy level (n=3) can be calculated using the formula E = -13.6/n^2 eV, where n=3.

C) For the electron to come back to its ground state, it can emit photons with frequencies corresponding to the energy differences between the higher energy levels and the ground state.


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