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We can determine initial quantum level or initial energy level (n_{initial}) of the electron using the **Bohr Equation** shown below:

ΔE = energy related to the transition, J/atom

R_{H} = Rydberg constant, 2.178x10^{-18} J

n_{i} = initial principal energy level

n_{f} = final principal energy level

The *energy is not given*. However, we can calculate it using the wavelength of the absorbed photon and the **equation for the energy of a photon**.

A hydrogen atom absorbs a photon with a wavelength of 397.1 nm, which excites the atom’s electron. Determine the electron’s initial quantum level if the transition results in a final quantum level of n = 7.

a) n = 4

b) n = 3

c) n = 1

d) n = 2

e) n = 5