Achieve Question 8

[205992763]

Hi! I've been struggling with this question for a little while, if someone could help me out that would be greatly appreciated. Thank you so much in advance.

Calculate the wavelength (in nanometers) of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 6 to the level n = 1.

Thank you again!

[Hao Tam Tran 3H]

Hi!

The equation you should be using here is v = R[(1/n₁²) - (1/n₂²)], where R = 3.28984 x 10^15 Hz. n₁ should be the n=1, while n₂ is the n=6. Thus, when we plug everything in, we get v = (3.28984 x 10^15 Hz)((1/1)-(1/36)) = 3.198455556 x 10^15 Hz. Finally, all we have to do is find the wavelength, which is = c/v, so (3.0 x 10^8 m/s)/(3.198455556 x 10^15 Hz) = 9.38 x 10^-8 m, or 93.8 nm.