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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?

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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.


Learn more about Hydrogen atom energy levels and photon emissions here:

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