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Do the Balmer and Lyman series overlap? To answer this, calculate the shortest-wavelength Balmer line and the longest-wavelength Lyman line.

The two series do not overlap because the shortest-wavelength Balmer line is muchgreater than the longest-wavelength Lyman line. Hence, Balmer series and Lyman seriesdoes not overlap.

Physics 103

Chapter 30

Atomic Physics

University of Michigan - Ann Arbor

University of Winnipeg

McMaster University

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

01:33

Do the Balmer series and t…

09:13

Spectral lines of the Lyma…

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What is the ratio of the s…

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Find the wavelength of the…

04:30

Find (a) the longest wavel…

03:23

According to the values ci…

06:17

What is the smallest-wavel…

02:00

Find the shortest waveleng…

07:27

(a) Calculate the longest …

04:10

(1) $(a)$ Determine the wa…

02:32

Determine the wavelength, …

00:48

Calculate the longest and …

04:31

04:29

05:25

($a$) Determine the wavele…

0:00

(a) What is the wavelength…

03:44

The Lyman series of emissi…

04:58

The Balmer series for the …

06:05

The wavelength of the four…

So when you two figure out Eve Lyman in Bomber Siris, uh, his int 00 over lock in, uh, in the spectra. So, for for these, uh, we will calculate the smallest possible way links from Armor Siri's and the largest possible re elect from Lyman Siri's. So, uh, the smallest from, uh so we hope a formal, uh, uh huh. How to calculate the wellings in general? Uh, one over wailing ese are, uh, cold Queen breaks constant one over squared one over square. And in case off the bombers, Siri's, uh, by the definition, the final state is two. So electricians are jumping from the initial state to the second state, and, uh, is a result we get You're lying, which is called about our series. So we have for the bomber Siri's, uh, one over four minus and insurance where an initial. He's great heaven. And so we want to find the smallest launder. This means that the one where lambda should be the largest. So this win state tow the right side of the equation. This quantity should be the largest. This means that ah, second term in the side should be the smallest in order to get Oh, the largest number. We should subtract the smallest possible number. This means that one over and I squared is the smallest. And this means that and I squared shouldn't be the largest possible number in order to get, uh, the smallest. It's one small. It's possible armed, meaning that in in show is large. And the largest possible initial state is infinity. Uh, so there is no upper bound for the possible states. And if an initial is infinity, we were like number one over and I squared. Is zero intends to be zero industries? We don't help these terms. And Lunda, he is simply for over the rebirth. Constant, which is one owned you. 97 10 27. Meet her minus one. And you replied, this number. Here we will get that smallest possible way linked or in the bomber. Siri's is 364.63 90 I know meters. And let's see what we hell for a lot of the lime uncertain serious eso Well, I know we're lambda. It's called l for Lyman Serious. We have the same for a moment because this is a general for formula Um, but ah, the definition off the Lyman Siri's is that a lectern is jumping from any state to the first state. So we have one minus in over one squared. Remember? Uh, here we had one over and finally squared, but And final, that's right here in the final is one for Lyman Siris. And this was in initial sri great abs under what? And now we're looking for the largest possible Lambda Ill. This means that one over Lambda should be the smallest This ministers. Ah, the right side of the questions should be two smallest again. And this means that the second term should be the largest in these leads to the conclusion that and I should be this most so Lambda Ill is large. You and I is smoke. He's small. Yes, And the smallest possible initial state considering this condition is too, because after one comes the second after the first date comes the second state. So we have the equation. One over lambda are why minus one over for and cheese, It's we force, huh? And Lum duh. Oh, is, um phone? They waited right? Sweet cheese. Uh, one. 21 worked 100 Jews so it's Oh, that's conclude we have a Inspector Lane and the largest possible we linked from the bomber from the linemen. Siris, uh, which we just calculated is 1 121 0.44. And this is the largest. So over. Siri's goes here, and the smallest possible while you for, uh, bomber Siri's is It was 364 going 63 in Baltimore. Siri's goes here, which means that these two lines doesn't help uh, and you overlook.

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