1 You observed visible light emissions that resulted from ex

1. You observed visible light emissions that resulted from excited hydrogen electrons.

A less popular, and therefore unobserved, visible emission could have originated from quantum level 8. What would be its wavelength and what color range would it lie in?

Solution

for visible rannge final state must be n=2 (Balmer series)
Use Rydberg formula:

1/lambda = R* (1/n1^2 - 1/n2^2)
1/lambda = (1.097*10^7)*(1/2^2 - 1/8^2)
1/lambda = (1.097*10^7)*(1/4 - 1/64)
lambda = 3.89*10^-7 m
= 389 nm

It is violet color