HW13-10

# HW13-10 - 7-6 Radiation Interactions Chap 7 A small...

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7-6 Radiation Interactions Chap. 7 9. A small homogeneous sample of mass m (g) with atomic mass A is irradiated uniformly by a constant flux density </J (cm-2 S-1). If the total atomic cross section for the sample material with the irradiating particles is denoted by at (cm2), derive an expression for the fraction of the atoms in the sample that interact during a I-h irradiation. State any assumptions made. Solution: The number of interactions that occur, during a time interval ~t, in the sample with atom density N, a volume ~ V, a mass density p, and an atomic weight A is Nint = iit~V~t = JLtc/J~V~t = (Nut)c/J(m/p)~t The number of atoms in the sample, Natorns = (mNa}/A. Hence the fraction of atoms in the sample that experience an interaction is no. interactions no. atoms Nint Natorns = O"tljJ~t. Fraction reacting = = 10. A 1-mCi source of 60Co is placed in the center of a cylindrical water-filled tank with an inside diameter of 20 cm and depth of 100 cm. The tank is make of
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