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1. The problem statement, all variables and given/known data

The problem and its solution are attached as ProblemSolution.jpg.

2. Relevant equations

E_k = chR/(n_k)^2

E_l = chR/(n_l)^2

ΔE = hc/λ

hc/λ = chR[1/(n_k)^2 – 1/(n_l)^2]

1/ λ = R[1/(n_k)^2 – 1/(n_l)^2]

3. The attempt at a solution

Given E_k = chR/(n_k)^2 and E_l = chR/(n_l)^2,

ΔE = chR[1/(n_k)^2 – 1/(n_l)^2]

Therefore, since, ΔE = hc/λ,

hc/λ = chR[1/(n_k)^2 – 1/(n_l)^2]

1/ λ = R[1/(n_k)^2 – 1/(n_l)^2]

1/ λ = R[1/(n_k)^2 – 1/(n_l)^2]

1/ λ = R[1/(n_k)^2 – 1/(n_l)^2

ν = R[(n_l)^2 – (n_k)^2]/[(n_k)^2 * (n_l)^2]

and, n_l – n_k = -1 which counters the negative that I had initially compared to the answer of the book so far and now the only difference is that my answer lacks the c multiplicative factor that the book has. If I did something wrong, what is it? Or is it the book?

Also, how is the “crazier” part of equation (1.6.3) obtained?

If more information is needed, just ask.

Any help would be greatly appreciated!

Thanks in advance!

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# Homework Help: Prove that the Bohr hydrogen atom approaches classical conditions when [. . .]

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