Encountered the following bonus question in a hwk assignment and neither myself nor my other class-mates have a clue on how to approach it. Or, if someone has ran across this or a similar problem in a text or online, please point me in that direction.(adsbygoogle = window.adsbygoogle || []).push({});

Any help is greatly appreciated.

Given: A gamma-ray source in the shape of a homogeneous sphere of radius R, throughout which there is a homogeneous temperature distribution.

a. Calculate the factor by which the intensity is reduced through self-absorption. Express this as a function of:

1) source radius &

2) source temperature

b. What is the magnitude of these reductions in the case of a 198-Au source (μ = 2.9 cm-1) of radius R = 0.15 cm when the temperature is changed by ΔT = 1000°C (linear coefficient of expansion α = 17 x 10-6 per °C).

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# Spherical Gamma-ray source

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