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Due Friday by 11.59pmPoints 100Submitting an external toolQuestionThe defines the general value of the electronic energy; while the determines the shape ofthe orbit...

Question

Due Friday by 11.59pmPoints 100Submitting an external toolQuestionThe defines the general value of the electronic energy; while the determines the shape ofthe orbital,Select the correct answer below:magnetic quantum number; principal quantum numberspin quantum number; magnetic quantum numberangular momentum quantum number; spin quantum numberprincipa; quantum numoer; angular momentum quantum numbe

due Friday by 11.59pm Points 100 Submitting an external tool Question The defines the general value of the electronic energy; while the determines the shape ofthe orbital, Select the correct answer below: magnetic quantum number; principal quantum number spin quantum number; magnetic quantum number angular momentum quantum number; spin quantum number principa; quantum numoer; angular momentum quantum numbe



Answers

Give the possible values of a. the principal quantum number, b. the angular momentum quantum number, c. the magnetic quantum number, and d. the spin quantum number.

The hydrogen atom is in the six Ju ST. Okay, In this question, there are four parts on part A. What's the principal? Quantum number. Okay, so the principal quantum number is he going to six, then the energy. Hey, energy is equal to minus 13.6 e v. Divide by N square. So this is equal to minus 13.6 e V. Divided by 36 which is minus 0.378 e V. Okay, then in part C, you want to find a popular, angular momentum quantum number. So G state, which means that our is equal to four. So they just highlight the answers or the previous parts a party. Okay. And then I see the popular, angular momentum content number is four. And then, ah, magnitude, Okay, is equal to square our times out last one times each bar. So this is equal to square 20 times 1.55 times 10 to the minus 34. So this is equal to, uh, 4.72 times 10 to the minus 34 two seconds. Okay, so this is the answer for policy. Okay. Then in Park City, while the possible values off many of the quantum number for each value we need to find her. Ah, the component. Um, And then we also need to find out, uh, electron orbital. The angle. That's the orbital angular momentum vector mixed with the Z axis. Mhm. So Okay, so the possible ah, values off, nl. Hey, things are how is he always equal to fall? So you have. And now it goes to zero. Last night s one as minus two as ministry and plus minus four. Okay, so we call that l m l ah, m l is between minus l two l in steps off one day. So the, um the corresponding Z component. Okay, so, for, uh, now it goes to zero. Okay, so this are lousy if you go toe zero each by zero. Okay, then. Lousy. Okay than for America's one. Ah, plus minus one. Okay, I will see. It goes toe class minus H bar, which is plus minus, Uh, 1.55 times 10 to the minus. 34 2 seconds. Yes. I didn't think that The Apprentice is okay. Then we have, uh And now it goes through last minus two. So l Z is equal to last. Minus two is far. This is equal toe past minus 3.11 times 10 to the minus 34 two seconds. And for M l, it goes to plus minus three. How easy it goes to cause my nose. Three H bar. This is equal to Okay, that's minus. Uh, this is 2.11 Sorry, it's 2.11 Okay, Um, right. M l equals two plus minus tree. We have l Z equals 23.17 times. 10 to the minus 34 2 seconds and then amount goes through. Class minus four. Elsie goes through class minus four. H bar is this equal to okay? Plus minus 4.22 times 10 to the minus. 34 two seconds. Okay, Okay. So, just to highlight some of the answers Yeah. Zero plus minus. H bar last minus two. Each bar last minus tree H bar, then pass minus four. H bar. Hey, this is a manitou, then next year, going to look for the angle. Okay, So for the angle, um, we'll be looking at this like driver. He recalled that as us. Yeah. Okay. So, um, services. Ah. Okay, So this is when, uh, I was He goes to zero, right? And then you have Elsie goes toe one to when l z equals when Americans to to and to make it clearer, e m l. Okay. And then you have, Ah, America's three. Just a rough sketch, okay? And then you have americans to fall, and then you also have the corresponding negative, the job, and l Okay, so the angle that we're interested in is the angle that Ah, okay. The angular, the orbital angular momentum vector makes with the positive Z axis. Okay, so, um okay, then. Well, just do it, uh, systematically for Americans to zero. So the angle is, uh, co sign. Ah. 1/0 over 20. Okay, so this is 90 degrees, okay? And then amount goes to one. The the angle is equal to, uh, cause I won over 20. So this is, um, 77.1 degrees. Okay, so for MLB goes to minus one, So the angle I z go through, I 80 degrees minus 77.1, So you get 10 2.9 degrees. Okay, so the angle again. Is the angle, uh, from all right. Strong, positive Z axis. Okay, this is how I'm going to define my angle. So on. Yeah, Than for Americans to to you have angle, because to cause I to over 20. Okay, so this is equal to 63.4 degrees. So no ml it goes to my s two. Your angle the 180 degrees minus 63.4 degrees. So this is 116.6 degrees. Okay, so next we have ML request to three. The angle is equal to cause I 3/20 and you get, um, 47.9 degrees. And for m l. It goes to ministry the angle. Yes. Hurry in 80 degrees, minus 47.9 degrees. So you have 12.1 degrees. Okay, then ml goes to four. The angle is equal to, uh, cause I for 20. Okay, so you get 26.6 degrees, and for americans to minus four, the angle is equal to find 80 degrees minus 26.6 degrees. So you have 153.4 degrees Mhm. So you know the answer. Okay. These are the angles for each M l. Okay. The anger is measured from the Was this, uh, the axis? Okay. All right. So that's all for this question.

Hello students in this question we have to tell which quantum number? Which quantum number difference defines the orientation of or bitten of orbital mm space in space around the nucleus Okay. Around the nucleus. So the magnetic quantum number that is M. L. Defines the orientation of orbital in this space. In other words we can say that the value for the Ml described whether the orbital lies along the X. Comma Y or their access um Pretty graph Okay. With the nucleus of the atom at the origin. Okay. So hence this magnetic quantum number is the correct answer of the problem hangs from the given options option C is the correct answer for this problem. Okay so there are a total four quantum number. That is principal quantum number. My eyes emit quantum number or angular momentum quantum number and next one is magnetic quantum number and the spin quantum number. So you have to learn the properties of that. Okay thank you.

In the first part of this problem. Magnitude off orbital angular momentum is given Andi, we wantto find our little quantum number. So we have a magnitude off our little quantum number is Can you do homes? So good old off 57 in tow. Japon Go away! SB hill The religion for magnitude Off our little angry woman Dome is you, Goto and into helpless one dimes age upon Goodbye. So there is equal to I didn't do. Sigurd rode off into seven times a job on why here s Japan. Dubai will be concerned from Mozart. So we have Ellen toe l plus one hearts curb physical too. I didn't do so good of love pisser nobody taking some girl on both sides of the region. We have Ellen to l plus one physical true 100 into 57 are you can write This expression is else a girl plus l physical toe 57 100 else girl plus l minus 5700 is equal to zero. No compare by comparing this accordion with the sea gender form off quadratic equation. There did execute a plus. Be explicit. See easy car zero we have here a sickle toe one basically 21 and C is equal to minus 57 double zero iss. We hear the religion farm roofs off. Quadratic equation is X equal to minus B, but let's minus. It's a good, although be sicker minus for a C upon do it. Nobody Putting the values off A, B and C we held L. A is equal to minus B, but let's minus. It's a good old off once again, minus four in tow. Here is one and the seas minus 57 100 upon Go indoors A's one Here we have Well, you off bees one. So l is equal to minus one less minus one protector off foreign food for seven 100 is to do and noma zero upon do so political toe minus one plus minus The some off one engine Do any drew and 100 is so do I and 01 upon Go. So l is equal to minus one. But that's minus. It's a girdle graph, Toto. Engine one is 1 51 Upon from here we held you were yourself and there l physical toe minus one plus 1 51 divided by two and second where you is minus one minus 1 51 dried by two. So we have a musical too 75 and the other value off, please. Minus so under six. But we know that our little quantum number Well, in two days positive values. So the required Well, you off Ellis 70 five. No, in the people off this problem we want to find minimum Will you off peaceful quantum number off there. Adam s video. The values off l that l takes the values from zero toe and minus one here. And he's peaceful quantum number. Ask me how already concluded in part. You have this problem that the maximum weight you off our little call our little quantum memories. 75. Yes, we have the relation between maximum our little quantum number and principal quantum memories. And maximum is it Kal toh and minus one. Here we have l'm maximum is 7 to 5. Is it going toe and minus one? From here we help. And is it going toe? Seven to fire people as one. So we have a musical do 76. So this is the minimum value. A principal quantum number for political too. 75 now in the last quarter off this problem we want to calculate. And now do ya go Adam for a physical toe tending to secure a draft number seven dimes Japon, Dubai We held maximum. Our little England momentum is 7 to 5 and far dared. We have minimum principal Quantum. Nobody's 76. Now we want to find energy of their dome. Yes, we heard the relation for in our job Bottom is equal to minus 13. Fire six Ella gone world upon and sugar which is a goto minus 13 fired six Ladan world upon here and he's 76. So after computing, we have energy equal to minus zero point 00 Cruelty five alert down world Which is it going? Toe minus two Part 35 times Tendered of our ministry Celadon world There's the end of the problem. Thanks for watching

In this problem. We're going to talk about the quantum, angular moment. And what we need to remember is that the angular momentum hell of a particle as a function of its orbital quantum numbers, little while is equal to the square of L Times, helpless one times H bar L plus one is the angler quantum number. And we need to remember that the possible values of L for a given value of the personal contact number and ranges from zero two and minus one. Okay, um, and our, uh, in our exercise, we have an atom that has, uh, an angular momentum of 10 times a spurt of 15 seven sorry times as far. And our goal in the question a is to find what is the value of the orbital number? Um, so basically noticed that l can be written as the square root of 57 100 h bar, and this is equal to the square of l time. Selfless one a spark. Which means that our times l plus one is equal to 5700, so l squared. Plus l is equal to 5700 needed elsewhere plus l minus 5700 is equal to zero. So l is equal to minus one plus or minus the square root of one. Yes, four times 5700 divided by super. One of the roots are negatives, so I'm not going to care about it. And the positive one is equal to 75. Okay, so 75 is Well, this is the answer to question A an item B. We have to find what is the minimum value of n notice that l may range from zero two in minus one. Assuming that the value that we obtained is the maximum value of L, we can obtain the minimum value of end. So n minus one is equal to 75. So N is equal to 76. This is the minimum value of n. Then in questions. See, we have to find what is the energy of this energy level, considering that N is equal to 76. Uh, that is, if l is the maximum orbital number. No orbital quantum number, that is, Adam can have so e of 76 is minus 13.6 electron votes divided by 76 squared because the energy you have to remember that the energy of the energy level of a hydrogen atom is minus 13.6 electoral votes. A M squared. So e 76 is equal to minus zero point 00235 Mm. This concludes our


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