Whats the absorption energy of a photon when moving from the first state to the fifth state?

1 Answer
tcw1
Jun 2, 2018

#13.056eV#

Explanation:

I will assume you mean for hydrogen. To find the change in energy, we need to use the Rydberg Equation, which is:

#DeltaE=Z^2R(1/n_f^2-1/n_i^2)#

It is given that #n_i#, the initial state is 1 and #n_f#, the final state is 5. Z depends on the number of protons in the atom, which for hydrogen is 1. I will assume the question is for a hydrogen atom. R is the Rydberg constant, which is -13.6 eV.
Plugging in the numbers:

#DeltaE=1^2*-13.6eV(1/5^2-1/1^2)#
#DeltaE=13.056eV#

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