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# Light of wavelength 102.6 $\mathrm{nm}$ is emitted by a hydrogen atom. What are the (a) higher quantum number and (b) lowerquantum number of the transition producing this emission? (c)What is the name of the series that includes the transition?

## (a) $n_{1}=3$(b) $n_{2}=1$(c) Referring to Fig. $39-18$, we see that this must be one of the Lyman series transitions.

Wave Optics

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##### Andy C.

University of Michigan - Ann Arbor

##### Marshall S.

University of Washington

### Video Transcript

Hey, we have a hard Jen Adam, which in which the electron makes the transition from one state into which is a higher state to another state and one. And it emits a fortune, which has a label and off 102 point 16 nanometers. So the pavement off the port animated as 100 people and sits nanometers. Our first step should be to find out energy off this fortune, so entry off the foreground is equal to Let's see over Lambda Begin Subsurface SCS 1240 Electron woods Nano meter do I didn't buy it 100 poop on six centimeters. This value comes out to be equal to 12 foreign seed or nine. He means all of that energy or the energy of for Don has come from our transition from end to to win well so we can write that BP or the energy of the fourth round must be equal to the difference between key to level and even level in this case to 11 Simply say, I mean to say, end to end one probably taken dating and and in here and that can be written us minus 13.6 one word into square minus one over Can one square once again, Such high values can only be obtained when you have a transition to the Crown Street. So we can try our first case as two and one which, as you will notice, I will not give you the right and support Clinton for nine. But however, if you put into was equal to three and anyone as equal to one value But you get is exactly equal to 109. So in this case, a solution is I can do is equal between and was is equal to one. So the higher quantum number is three and the lower quantum number this one. And since this transition now moves from her level to the first level, which is the crown, See, it's called Lyman Cities. It belongs to the layman.