Hydrogen Spectrum: Blue Line w/ 434nm Wavelength

[Cudi1]

Homework Statement

The hydrogen spectrum contains a blue line with a wavelength of 434nm. Photons of blue light are emitted when hydrogen's electron drops from the fifth energy level to a lower energy level. What is the lower energy level?

Homework Equations

1/wavelength = R [ 1/n2^2 - 1/n1^2]

The Attempt at a Solution

1/(4.34*10-7m)= (1.097 x 10^7 m^-1) [1/n2^2 - 1/5^2]
2,304,147/(1.097*10^7) = 1/n2^2-0.04
0.21n2^2=1
n2=2.182
thus i found that the lower energy level is 2 , is this correct ?

 

[Dickfore]

Yes, if n₂ = 2 it's called Balmer series and this is the only series that falls in the visible spectrum.