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Question

Calculate the longest wavelength (in m) of the electromagnetic radiation emitted by the hydrogen atom in undergoing a transition from the n = 6 level.

Answer 1

Please use the Rydberg formula for hydrogen:
1/λ = R{(1/n1)^2 - (1/n2)^2}
where λ is the wavelength of the light emitted in vacuum,
R = 1.097x10^7/m is the Rydberg constant for hydrogen,
n1 and n2 are principal quantum numbers, such that n1 < n2
Set n1 = 6 and n2 = 7, we get: λ = 12368nm.