the-maximum-compton-shift-in-wavelength-occurs-when-a-photon-is-scattered-through-180circ-what-scatt

Question

The maximum Compton shift in wavelength occurs when a
photon is scattered through $180^{\circ}$ . What scattering angle will produce a wavelength shift of one-fourth the maximum?

Zulfiqar Ali · Accepted Answer

we know they change in violent equals. It&#x27;s divided by muscle. Electron time. See into one minus course. I interior changing babble int equals. It&#x27;s divided by Mars. Off electron times, speed of light multiply by one minus. Go sign Peter. In this case, angle is equal to 1 80 degrees. Therefore, changing Valent is equal to it&#x27;s divided by moss of electron times. Speed off light into one minus call sign off one degrees and the knowledge call sign off. 1 80 degrees is equal to minus one, and therefore changing Valent is equal to it&#x27;s divided by moss off electron time, speed of flight into one minus into minus one and excuse. This changing Valent is equal to H, divided by Massif Electron time speed off light into two. This is the change in Rabal Inc It&#x27;s times two divided by months of electron times, see and sees the speed of light and according to given condition, according to given condition. According to given condition, changing Valent is equal to 14 off two times each, divided by Mars, off electron times, the speed of light and therefore changing Devlin equals itch, divided by two multiplied by moss off electron times the speed of light. All right, so let&#x27;s but the value of change in Babel int and therefore the itch divided by doing into mass of electron times. The speed of light equals changing babble in vehicles. It&#x27;s divided by Marcel Electron. Times the speed of light into one minus co sign fear. Well, its image are cancelled and this time is cancelled by this crumb and we&#x27;re left with one divided by tool equals one minus. Well, science Tita and go. Scientific data equals one minus one, divided by two one minus one. Divided by two is one by two and Peter equals go sign in Worse off 0.5 and this gives us 62 degrees, so Tina is equal to 60 degrees.

Ren Jie Tuieng · Answer

so written always the way flank shift or the content shift The creation and what you wanna show is essentially what angle does this shift equals to the continent? Weakening the content, we think is one part off this equation she&#x27;s dis but right. So if you want the shift to be just equals two this content, we think it means that we want this to be equals two. One For this to be close to one theory is that this cool scientist must be equals two zoo. No, it what it goes. Uh, does this give us hero? Well, yeah. Fight was too Haiti, Greece. And then also 70 degrees So on and so forth. So he picked the first one. You must be five. Must be 90 degrees.

Jayashree Behera · Answer

so the question for initial and final Waveland in content scattering ISS the following. So finally live lit minus minus Initial Rivlin is equal to one constant over mass. Times speed off light times one minus because fight, they&#x27;re longer dash is the revenant off the scattered photo on land, eyes of a glint off. The original photo fire is the scattering angle and is the wrist marks off the Electra. Now, from this equation, to get the longest scattered Waveland, we must have the highest value for one minus ghost Tita. And this means that we need to have the lowest value for Crossfire. And this means that cost by the lowest value. Of course. Why is minus one? So for Lambda Dash to be highest, we need cause fight to be lowest. So we&#x27;re picking the value minus one for crossfire, so it doesn&#x27;t really matter. Oh, what the value of Phi is five necessarily be 1 80 degree. But we don&#x27;t need to find that we just need to find the maximum scattered riveted. So now Landers will be land up less dries off, etch over and see, so have already substituted this value over here and that gives off gives us a factor off too. So now we can simply solve this equation that we have Landa 0.69 millimeter. So you need the convert that into meters? The strike is off. Etch on Dhe. Since our word Maas is the moss off a list months off an electron. So we need it in dumps off jewels. So we have 6.626 times, 10 to the barge. Okay, so I forgot to mention one more thing. So that is a ah general value off this factor. Etch over M. C. So this factor it over emcee is actually called the conference Waveland. And this has a value 2.4 to 6 times 10 to the minus 12 meter. So instead, off putting edge, then Marston, speed off electron. We can directly used this contract that contract Cleveland, which is a constant so twice off gone convey volunteers. And this gives Landa dash to be 7.135 dines time. Stand to the fine minus 11 meters and this is equal to a zero point Siegel&#x27;s 71359 millimeter. So this is the highest value off the scattered Waveland. Andi, this Waveland lockers at a scattering angle off, wanting to degree, as with the costs, fight to be to have a minimum value. So that means that if I have to be wanted to decree

Katie Mcalpine · Answer

Okay, So for this problem, we&#x27;re talking about Compton scattering. And the initial wave length is 0.665 nano meters. So Lamda initial is 0.6 What is it? 0665 centimeters. And we want the longest wavelength. And at what? And goal. So let&#x27;s go ahead and look at our Compton. Um, formula. So it does that Delta Lambda is the Lambda off. See, Lambda Final minus aimed initial, and that&#x27;s equal to H over M C. Times one minus co sign of Stena or five Can. So, um, let&#x27;s look at this. So I&#x27;m gonna go ahead and write copy down that formula, actually first. So slammed. Ah, final minus Lambda initial is equal to H C over mass of the electron times one minus co sign If I and what we want is first the longest labeling eye you the smallest energy And then we want to get at what angle? So basically, if we want land ah, final to be long we want this term to be have a large magnitude And so the largest we can make this term, you know, HCM or effects. But FYI, we consent fighting minus one. And that would make this factor too, so that we could say land a final. The biggest one would be Lambda Initial plus to h c divided by, um because this whole thing could be too. And then I&#x27;m gonna pause. Why? I am high rate it. She shouldn&#x27;t take too long. So point almost five times 10 to the minus nine. Plus, you just see provided by, um um, it&#x27;s 9.7 of the minus 31. Okay, so with that Ooh! 0.65 So it was bat. I got who? This number really doesn&#x27;t seem realistic. I&#x27;m gonna pause while I think about it. Okay, I see. I transposed to formula and correctly. Well, there was the sea, and then the sea comes down here. And so you know, when I look at my calculations, what I see is, um 0.6 74 nano meters. Oh, God. Make it will put my two so point Zeros 69 East Nano meters. I found another calculator, Typo. It&#x27;s harder than you think. Having back and forth um, maybe my short term memory will get bigger. Uh, yeah. So and I forgot one of the sixes in my Lambda. So that&#x27;s gonna make this 0.0 713 nanometers over this at 13 or 1413 Great. And so we want to know at what angle. And then, of course, that was when co sign is a fire&#x27;s negative one. So that would occur when Phi is 180 degrees.

Ren Jie Tuieng · Answer

for discussion. We start off with a friend next three with with length off two points, you six x 5 m. So we give it a articles, some quantum scattering. And so from the complex catering formula in order, the final, we think equals to something right now. Plus h of ah, see one minus science. Fight my fire. We&#x27;re here. Istea scattering angle. Now we&#x27;re gonna find it&#x27;s the longest possible we think And it unless we think we could win this one minus co signed five is at a maximum. So what makes my value? Can you stick? Well, this will be a maximum when a scifi iss he goes to minus one. If this occurs, this entirety would become to h over him. See Right this we want minus negative one, which gives us two. And when were dis occur? This occur sweating over fine goes to 180 degrees. So now to find what is this? We think it&#x27;s close to the origin away things us to h. C. That was the mess off. The electron seized a speed of light so they should should not brief about zero point through 714 Never meet us

Sanjeev Kumar · Answer

he had a day to go to number one minus taped up? No, from your leaking friends. Let me play with one minus. When given the values experience, six generals were minor. 34 your budget, but, um which is 9.1 and done Just a bold miner. 31. Much better than three into generous eight. Well, technically, with one minus both one. Then we get it. No point it into journalistic over minus good, and we can put up with the opening of their Delinda, which is it was so wanted. Eight into Gen vegetable in mind as well. And the calendar with two Lambda Dishman Acclaim Derivatives. And I&#x27;m just into one minus schoolteacher We find that don&#x27;t depend upon the wavelength off Didn&#x27;t for

Problem

Predict/Calculate Consider two different photons …

Problem 54 Hard Difficulty

The maximum Compton shift in wavelength occurs when a
photon is scattered through $180^{\circ}$ . What scattering angle will produce a wavelength shift of one-fourth the maximum?

Answer

$60^{\circ}$

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