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We can determine initial quantum level or initial energy level (ninitial) of the electron using the Bohr Equation shown below:
ΔE = energy related to the transition, J/atom
RH = Rydberg constant, 2.178x10-18 J
ni = initial principal energy level
nf = 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