What wavelength photon is required to excite a hydrogen atom from the n = 1 state to the n = 3 state?

The wavelength required is 102.9 nm.

Explanation:

The energy levels for the hydrogen atom are

So, for a transition from the first level to the third level we got

So we need a photon with this energy.

The energy of a photon its given by

So, the wavelength will be

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