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 ?
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F710a7226-269a-4413-b1e7-61b983d366d2%2Ff933445f-db5b-4051-be7e-dbdafafc9de2%2Fcx73azd_processed.jpeg&w=3840&q=75)
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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