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HW4 - PHY2 H No 4 a What is the wavelength of a x-ray...

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Unformatted text preview: PHY2 - H No. 4 - a) What is the wavelength of a x-ray photon of energy 10.0 keV? b) What is the wavelength of a y-ray photon of energy 1.0 MeV? c) What is the range of energies of photons of visible light with wavelengths 350 to 700 nm? 2. The cutoff wavelength for the photoelectric effect in a certain metal is 254 nm. a) Calculate the cutoff frequency v0 and determine the work function (I) for that metal. b) Will the photoeffect be observed for wavelengths X greater or less than 254 nm? 3. X—ray photons of wavelength 0.02480 nm are incident on a target and the Compton— scattered photons are observed at an angle of 900°. a) What is the wavelength of the scattered photons? b) What is the momentum of the incident photons? c) What is the momentum of the scattered photons? d) What is the kinetic energy of the scattered electrons? e) What is the momentum (magnitude and direction) of the scattered electrons? 4. Gamma-rays can reach a radiation detector by Compton scattering from the surroundings. This effect is known as "backscatten'ng". Show that, when E>>mec2, the backscattered photon has an energy of approximately 250 keV, independent of the energy of the original photon, when the scattering angle is 180°. 5. Find the de Broglie wavelength of a) a 8 MeV proton (mpc2=938.3 MeV). b) a 80 GeV electron (mec2=511.0 keV). (Hint: compare the kinetic energies to their rest energies in order to see if simple approximations can be used for calculations.) _ (VNM :ggfiv (C) (350 NM. Eam . , "@3221de M W. E MM TN (g RX w 47) §(§€VV. (a) I 1 MW; U~ w : 0.0M0m +(D.002wsww)(1~wg4o°) “3) WWW MW [me w X~ mmme fig:\i_L\/\L L A __ C __ _ I 3V YUM; ), C/ O. 01%!) vww (C) SCATTEM HEW [Wham/fl w 7~JHQJEchJ12 / :‘L:L\I_\5_LIZ‘{oe\/mfl g F % 5 A AC D-DHW‘W (0b K6 ; Ea ‘WCZ: E‘E/3 NQECTWU ; if" I \f 5 3W (p: jflfifiaflfiw 3 0 a t 4 C ~Cg1 m9 S.0~\D‘%—\1,C-[p“?)fcos%° © (00 3% =3 NV :v L<4 MfC/Z =v OLE MW’ {ELATIVISTIL Y E’if’flF/Sfilw f E: KQMK " % 1W}; : maszHhfifig : go :_ >> Ml £2 :0 We EWme flemmm m h M o L WM‘MW fix/DC :Mgwhc mm W- ___ A \0” #7::— MW/ 00‘;ng ...
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