In the H atom, which of the following transitions will result from the absorption of the longest wavelength photon? Select all that apply (Assume all transitions are possible) a) 2s to 3d b) 5s to 2s c) 2p to 3s d) 1s to 3p e) 2p to 6f Of) 1s to 3d

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Chapter1: Chemical Foundations
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In the H atom, which of the following transitions will result from the absorption of
the longest wavelength photon? Select all that apply (Assume all transitions are
possible)
a) 2s to 3d
b) 5s to 2s
c) 2p to 3s
d) 1s to 3p
e) 2p to 6f
f) 1s to 3d
Transcribed Image Text:In the H atom, which of the following transitions will result from the absorption of the longest wavelength photon? Select all that apply (Assume all transitions are possible) a) 2s to 3d b) 5s to 2s c) 2p to 3s d) 1s to 3p e) 2p to 6f f) 1s to 3d
Expert Solution
Step 1: Hydrogen spectrum

The absorption spectrum of the atomic hydrogen atom has been divided into a number of spectral series, with wavelengths given by the Rydberg formula. The Rydberg formula is as follows:

1 over straight lambda space equals space straight R subscript straight H space open square brackets fraction numerator 1 over denominator straight n subscript 1 superscript 2 end fraction minus fraction numerator 1 over denominator straight n subscript 2 superscript 2 end fraction close square brackets

n1 = is the principal quantum number of the lower energy level, and

n2 = is the principal quantum number of the upper energy level, and

RH = is the Rydberg constant (1.09677×107 m−1 for hydrogen)

λ = wavelength of the photon

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