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?
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:
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.