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1. a. A narrow beam containing 1020 photons at 6 MeV impinges perpendicularly on a layer of lead 12 mm thick, having a density 11.3 g/cm³. How many interactions of each type (Photoelectric, Compton, Pair, Rayleigh) occur in the lead ?

1. a. A narrow beam containing 1020 photons at 6 MeV impinges perpendicularly on a layer of lead 12 mm thick, having a density 11.3 g/cm³. How many interactions of each type (Photoelectric, Compton, Pair, Rayleigh) occur in the lead ?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. a. A narrow beam containing 1020 photons at 6 MeV impinges perpendicularly on a layer of lead 12 mm thick, having a density 11.3 g/cm³. How many interactions of each type (Photoelectric, Compton, Pair, Rayleigh) occur in the lead ? b. Assuming that each interaction in problem (1.a) results in one primary photon being removed from the beam, how much energy is removed by each type of interaction ? c. How much energy is transferred to charged particles by each type of interaction in problem (1.a) ? SOLUTIONS (Key Answer) : a. Photoelectric: 1.00 x 1018 ; Compton: 1.793 x 1019 ; pair: 2.556 x 1019, Rayleighe 6 x 1016. b. Photoelectric: 9.6 x 105 J ; Compton: 1.72 x 10'J; pair: 2. 46 x 10'J; Rayleigh: 6 x 10* J. c. Photoelectric: 9.5 x 105J ; Compton: 1.11 x 10'J ; pair: 2.04 x 10' J; Rayleigh:0.
Transcribed Image Text:1. a. A narrow beam containing 1020 photons at 6 MeV impinges perpendicularly on a layer of lead 12 mm thick, having a density 11.3 g/cm³. How many interactions of each type (Photoelectric, Compton, Pair, Rayleigh) occur in the lead ? b. Assuming that each interaction in problem (1.a) results in one primary photon being removed from the beam, how much energy is removed by each type of interaction ? c. How much energy is transferred to charged particles by each type of interaction in problem (1.a) ? SOLUTIONS (Key Answer) : a. Photoelectric: 1.00 x 1018 ; Compton: 1.793 x 1019 ; pair: 2.556 x 1019, Rayleighe 6 x 1016. b. Photoelectric: 9.6 x 105 J ; Compton: 1.72 x 10'J; pair: 2. 46 x 10'J; Rayleigh: 6 x 10* J. c. Photoelectric: 9.5 x 105J ; Compton: 1.11 x 10'J ; pair: 2.04 x 10' J; Rayleigh:0.
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