7c_practice_quiz_4-8_solution.pdf

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Unformatted text preview: First Name Last Name - ID _ Section Question 6. Compton Scattering (10 points) An X-ray with wavelength A — 2 nm in vacuum collides with an electron that' 15 initially at rest. After the collision, the wavelength of the scattered photon' IS A— ﬁ 2 18 nm a). Assuming all the energy lost by the photon went into increasing the kinetic energy of the electron what is the ﬁnal velocity of the scattered electron? (Remember that K E 21111.12. ) Ep , M3 EPa r. Ciﬂsx/owj Eng= ‘2.” No @415: anxio‘l'W "KE £11: emw‘”3‘= 15m” 63) V = JQmL‘ilslor‘siS Vrm'e- malfﬁx [DOM/S b). What is the wavelength of the electron for which you found the velocity in part a)? (Recall that p = me.) ﬂak/,9 = WNW , @ {.731 xio"°m 0). Suppose a beam of such electrons is incident on a pair of slits spaced 100 nm apart. Because electrons are waves, the resulting pattern produced by the diffracted electrons will look a lot like the one we saw for light in DL] If we attempt to examine this pattern by placing an array of detectors 1 In away from. the slits how far from the center of the pattern should we observed the n : 3 constructive interference band to be? (Hint: sin 6 m tanH for small 19.) a“? J n: n=2 ? Electron 11:1 11:0 beam Two slits D 100 nm apart Detector ...
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