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Assignment06

# Assignment06 - Duke University Medical Physics Program...

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Duke University Medical Physics Program MP200 - Radiation Physics Fall 2010 Assignment 06 Due 11/05/10 ( Show your work for each problem. Partial credits are awarded.) 1. Derive equations 7.8, 7.9 and 7.10 Attix page 127. i.e. = 1 + ( m 0 c 2 )(1 - cos φ ) T = (1 - cos φ ) m 0 c 2 + (1 - cos φ ) cot θ = (1 + m 0 c 2 ) tan( φ 2 ) 2. What is the maximum energy a γ ray can have after being Comp- ton scattered through 180 0 . 3. Calculate the velocity of recoil electrons when light of wavelength 1 μm is Compton scattered through 90 0 . Hint: Are the electrons relativistic? 4. Derive the equation for Compton Scattering, λ = λ 0 + h m 0 c (1 - cos θ ) A narrow beam containing 10 20 photons at 6 MeV impinge per- pendicularly on a layer of lead 12 mm thick, having a density of 11 . 3 g.cm - 3 . How many interactions of each type ( photoelectric, Compton, pair, Rayleigh) occur in the lead? 1

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Assuming that each interaction results in one primary photon be- ing removed from the beam, how much energy is removed by each type of interaction? 5. Calculate for 1 MeV photons the K - N cross section, and derive the Compton mass attenuation coefficient for copper.
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Assignment06 - Duke University Medical Physics Program...

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