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In a Compton scattering experiment, an x-ray photon scatters through an angle of $17.4^{\circ}$ from a free electron that is initially at rest. The electron recoils with a speed of 2180 $\mathrm{km} / \mathrm{s}$ . Calculate (a) the wavelength of the incident photon and (b) the angle through which the electron scatters.

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given their scattering. And girl for photo is 17.4 degree requires speed off. Electron is to 180 kilometer per second. Um, we can use this classical formula for electron as it speeds is very low. And the speeds, um, the relative mystic effects are not prominent, so they kind of take energy off. The recall electron is, um if half and it we square. That is half AM S 9.1 into 10 to devour minus 31 in 22.18 and 2 10 to the power six square that is equal to 21. 62 inches to 10 to department in 19 Jews. K F s Sorry, K is equal toe h f minus. Jeff, not is Etsy upon lambda minus eight C upon lambda dish is a okay. They called to 21.62 into 10 to the power minus 19. Um, Linda and a Lambda Desh are the way evenings off incident and scattered photon. So, um, one upon Lambda my in this one upon Lambda Dash is a girl toe 21.62 into 10 to the par minus 19 18 c there is equal to 1.8 16 to 10 to the power seven. So one upon them them and is one upon them. Daddy, she is a good look. 10 it says in returned to the first seventies equation one also Lambda Dish Minister Um, there is a good of age one AM a say multiply Golan minus course. 17 point full. There is a whole tour. The dash minus lambda is a canto 0.0 do for three into 10 30. Power nine into one minus course, 17.4 Linda Dash minus lambda, minus 1.11 into 10 to the power minus 13 plus Lambda equation, too. Or Bangladesh is the world's 1.11 in 10 to the par minus starting plus member. That is when, upon Lambda minus one of 11.11 into 10 to the par minus 13 plus lambda the call to 1.8 They've been to 10 to the power seven. So by calculating this, we get Lambda is equal to 1.314 important to the par minus stand meters. Um, second, the sister Wei blank off the incident. Four time. Second is, um um the kind of tech energy off the required electron is Okay. Cool toe. Eight C multiplied by one upon lambda minus on upon Lambda Desh. We have, um okay. The girl to 13 point 46 left, and the rest in energy of the electron is. Then I she half electron. Their 0.51 month. Really total energy is equal to mm. The electron is a good long are point by 11 plus 13.46 into 10 to the power minus six. That is one farm was the good little 10.51101 train. Yeah. No. The recoil momentum for electron is he is half one upon see square minus m a square. Say to the bar food. Uh huh. There is a good A 0.0 physics for right for us. See? First get the photon paid ashes. H Dasha. Proceed. ASHA Ponsi e g dash upon. See? That is a goto each upon h dash that is 6.63 Tend to depart minus 34 upon 1.11 into tend to depart minus starting 30 birth. Linda that is a girl toe. There a 0.1 toe. No, but see, we have this scattering angle of photo on the 17.4 picked up off. So sorry. Yes, it could do. Get doing. Yeah. Angle off electron. Then be a sign. Phi. Is it going to be the sine theta Fine five physical toe be touch upon B A ST Peter, that is. Girls do. So you're blind, you know that? 50 point, you know, one toe, one little 10.0 play 64 time data. So five is a girl. Five is a girl toe 90 degree That is the, um, angle through which the electron