Problem: What is the smallest value of n for which the wavelength of a Balmer series line is smaller than 400 nm, which is the lower limit for wavelengths in the visible spectrum?

FREE Expert Solution

We're asked to determine the smallest value of n (ni with a corresponding wavelength, λ that is smaller than 400 nm for a Balmer series line.  400 nm is the lower limit for wavelengths in the visible spectrum.

Recall the Balmer Equation shown below:


1λ=R×1nf2-1ni2

where:

λ  = wavelength, m 

R = 1.0974 x 107m-1 (Rydberg Constant)      **value can be found in textbooks or online 
ni = initial principal energy level
nf = final principal energy level = 2 for Balmer Series 


Recall that for the Balmer series the final principal energy level nf is always = 2. 


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Problem Details

What is the smallest value of n for which the wavelength of a Balmer series line is smaller than 400 nm, which is the lower limit for wavelengths in the visible spectrum?

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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 and Balmer Equations concept. If you need more Bohr and Balmer Equations practice, you can also practice Bohr and Balmer Equations practice problems.

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