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Predict/Calculate Consider two different photons that scatter through an angle of $180^{\circ}$ from a free electron. One is a visible-light photon with $\lambda=520 \mathrm{nm},$ the other is an $\mathrm{X}$ -ray photonwith $\lambda=0.030 \mathrm{nm}$ . (a) Which (if either) photon experiences the greater change in wavelength as a result of the scattering? Explain.(b) Which photon experiences the greater percentage changein wavelength? Explain. (c) Calculate the percentage change inwavelength of each photon.

a) sameb) $X-$ ray photon c) 16$\%$

Physics 103

Chapter 30

Quantum Physics

Simon Fraser University

Hope College

University of Sheffield

University of Winnipeg

Lectures

02:51

In physics, wave optics is…

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CE Predict/Explain An X-ra…

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In a Compton scattering ex…

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(II) X-rays of wavelength …

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X-rays with a wavelength o…

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part, eh? We know they did. Change in Waveland is a cold too Itch divided by mass of electron times the speed of flight into one minus Call Sign Tita here today Is this sketch in on though, And this agreement it is clear date changing Devlin Onley depends on the scattering angle Peter. Changing javelin only depends on Peeta discovering angle Rest of the quantities are constants. It is a plan constant massive electron is constant, Speed of light is constant and one is a constant. So the only factor the determines change in battle. And is Peter the scheduling angle And therefore the change in Valent is the same for the board for dawns So the change in Dublin the change in Babil int is the same for bought for dawns. All right, now let's sold part B Well, for both of photons, changing Redland is the same. Ah, change in Babel int eyes the same is the Sam. No keeping this point in mind. Let's calculate our percentage change in travel and four, uh, the visible for Tom so or send each change person did change in development in the babble int in the prevalent off visible visible light foot on. Well, to calculate the person teach change in babbling Oh, visible light food on, uh, we divide changing, prevalent, divided by the reverend off the visible light which is 500 20 nanometers. And this changing babbling is also Indiana meters multiply by 100 and this gives us zero point 19 times, uh, lender zero point 19 times. Ah, change in Babel int so 0.19 times changing, babbling and similarly percentage change in the lab. Lint off. Uh, X ray foot on is given by let's do it here. So percent age change percent a change in the travelin and, uh, vab lint off X ray foot on X ray for John, this is equal to change in gavlin divided by the babble and off X ray photo on which is a 0.0 tree zero nanometers. Uh, Nana meters multiplied by 100. And this gives us 3.3. Multiply it by 10 to the power tree. Time's changing babbling hence X ray foot on experiences. Greater percentage change in Babylon. Excellent. Put on his smaller frequency, then the visible light for dawn and changing babbling for both the photons eyes the same. Therefore, extra foot on experiences greater person teach change here. X ray Patan X ray foot on expediency ese expedience ese crater percent be change greater or sent each greater percent each change. No. Let's, uh, sold Bart see and Peter equals 1 80 degrees. We have changing. Devlin is equal to two times It's divided by Amoss off electron times the speed of light, and this gives us two multiplied by 6.63 multiplied by 10 to the power minus 34. Divided by Massif Electron is 9.1. Multiply returned to the barber minus 27. Multiply the speed off light, which is three. Multiply 10 to the power it and solving this changing Web glint comes out to be four point 86 multiplied by 10 to the power minus drug meters. Now for let's calculate for visible light foot on for visible for visible light foot on for a visible light for tar. So first of all, we calculate, uh, person big change for visible light foot on time. It can be done by dividing 4.86 Multiply. We tend to the power minus 12 which is a changing babbling divided by the rabble end off visible light, went on sequel to 5 20 Multiply. We tend to the powered minus line leaders multiplied by 100 and this gives US 9.3. Multiply every 10 to the power minus for percent and similarly, for X ray for dawn for X ray, put on percentage change in battle in is 4.86 Multiply. They tend to the collar minus 12 divided by, um, the violent off extra foot on which is zero point zero tree. Zero multiply. I tend to the bar minus line, multiply by, uh, one Andre, and this gives us 16 point 2%.

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