An x-ray beam with an average photon energy of 40 keV (assume it monocrhomatic) is directed into a patient. The beam uniformly exposes a 5 cm x 5 cm field on the surface of the patient. The beam passes through a 5 cm of soft tissue (p= 10.6g/cm³) which surrounds a 2 mm titanium pin (4.5g/cm³). the beam is on for 0.1 seconds, and a total energy of 1 J of x-ray energy enters the patient (a) Calculate the intensity of the beam and the energy fluence (b) What fraction of photons will be absorbed as the beam passes through a region containing only 5 cm of soft tissue (no titanium)? (c) What fraction of photons will be absorbed as the beam passes through a region containing only 4.8 cm of soft tissue and 0.2 cm of titanium?

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter3: The Quantum Theroy Of Light
Section: Chapter Questions
Problem 24P
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An x-ray beam with an average photon energy of 40 keV (assume it monocrhomatic)
is directed into a patient. The beam uniformly exposes a 5 cm × 5 cm field on the
surface of the patient. The beam passes through a 5 cm of soft tissue (p 10.6g/cm³)
which surrounds a 2 mm titanium pin (4.5g/cm³). the beam is on for 0.1 seconds,
and a total energy of 1 J of x-ray energy enters the patient
=
(a) Calculate the intensity of the beam and the energy fluence
(b) What fraction of photons will be absorbed as the beam passes through a region
containing only 5 cm of soft tissue (no titanium)?
(c) What fraction of photons will be absorbed as the beam passes through a region
containing only 4.8 cm of soft tissue and 0.2 cm of titanium?
Transcribed Image Text:An x-ray beam with an average photon energy of 40 keV (assume it monocrhomatic) is directed into a patient. The beam uniformly exposes a 5 cm × 5 cm field on the surface of the patient. The beam passes through a 5 cm of soft tissue (p 10.6g/cm³) which surrounds a 2 mm titanium pin (4.5g/cm³). the beam is on for 0.1 seconds, and a total energy of 1 J of x-ray energy enters the patient = (a) Calculate the intensity of the beam and the energy fluence (b) What fraction of photons will be absorbed as the beam passes through a region containing only 5 cm of soft tissue (no titanium)? (c) What fraction of photons will be absorbed as the beam passes through a region containing only 4.8 cm of soft tissue and 0.2 cm of titanium?
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