The band gap between the valence and the conduction bands

Question:

The band gap between the valence and the conduction bands in zinc oxide (ZnO) is $3.2 \mathrm{eV}$. Suppose an electron in the conduction band combines with a hole in the valence band the excess energy is released in the form of electromagnetic radiation. Find the maximum wavelength that can be emitted in this process.

Solution:

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