Suppose we detect red photons at 656 nanometers emitted by electrons dropping from the n=3 to n=2 orbital in hydrogen. The hydrogen is in an interstellar cloud at 5,000K. If the cloud were heated to 10,000 K, what would be the wavelength of the photons emitted by the transition?

656 nanometers

Explanation:

Using Rydberg Expression to approach this question, we have the expression given as:

where;

λ = wavelength

R = Rydberg Constant

= initial stage of the energy levels

= final stage of the energy levels

Now, from above expression, it is seen that the wavelength( λ) of the hydrogen spectrum is clearly independent in relation to the temperature. As such; if the cloud is heated to 10,000 k; the wavelength of the photons emitted by the transition will still remain to be 656 nanometers.

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