Problem: In the top part of image below, the four lines in the H atom spectrum are due to transitions from a level for which ni > 2 to the nf = 2 level. What is the value of ni for the red line in the spectrum?

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We’re being asked to determine the value of nI


We’re going to use the Balmer Equation which relates wavelengths to a photon’s electronic transitions.

1λ=RZ21n2final-1n2initial

λ = wavelength, m
R = Rydberg constant = 1.097x107 m-1 
Z = atomic number of the element
ninitial = initial energy level
nfinal = final energy level


Calculate the initial energy level (ninitial):


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Problem Details

In the top part of image below, the four lines in the H atom spectrum are due to transitions from a level for which ni > 2 to the nf = 2 level. What is the value of ni for the red line in the spectrum?

Line Spectra for Electron Emission: The hydrogen atom spectrum has a line at about 410 nm, 435 nm, 488 nm, and 655 nm.


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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Bohr Equation concept. You can view video lessons to learn Bohr Equation. Or if you need more Bohr Equation practice, you can also practice Bohr Equation practice problems.

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Based on our data, we think this problem is relevant for Professor Carra's class at HCC.