Exercise
https://texercises.com/exercise/cancer-patient/
Question
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The following quantities appear in the problem: Masse \(m\) / Energie \(E\) / Äquivalentdosis \(H\) / Energiedosis \(D\) /
The following formulas must be used to solve the exercise: \(D = \dfrac{E}{m} \quad \) \(H = qD \quad \)
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Exercise:
A cancer patient is undergoing radiation therapy in which protons with an energy of Eo are incident on a m tumor. If the patient receives an effective dose of H how many protons with relative biological effectiveness q are absorbed by the tumor?

Solution:
Geg E_ Eo EoC m m mC H H HC q q GesNumber of protonsNsi If the effective dose H of mSv originates from protons q then the absorbed dose D is solqtyDHCn/qnGy D fracHq fracHCq D If the whole dose is absorbed by the tumor with mass m the total absorbed energy is solqtyEmCn * DnJ convtoeV/.E convtoMeVEC E m D m fracHq mC D E EC ECC This corresponds to solnumNECCn/Eon N fracEE_ fracm fracHqE_ fracmHqE_ fracECCEo N absorbed protons. N fracmHqE_ N
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Exercise:
A cancer patient is undergoing radiation therapy in which protons with an energy of Eo are incident on a m tumor. If the patient receives an effective dose of H how many protons with relative biological effectiveness q are absorbed by the tumor?

Solution:
Geg E_ Eo EoC m m mC H H HC q q GesNumber of protonsNsi If the effective dose H of mSv originates from protons q then the absorbed dose D is solqtyDHCn/qnGy D fracHq fracHCq D If the whole dose is absorbed by the tumor with mass m the total absorbed energy is solqtyEmCn * DnJ convtoeV/.E convtoMeVEC E m D m fracHq mC D E EC ECC This corresponds to solnumNECCn/Eon N fracEE_ fracm fracHqE_ fracmHqE_ fracECCEo N absorbed protons. N fracmHqE_ N
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Attributes & Decorations
Branches
Work, Energy, Power
Tags
body, cancer, dose, energy, gamma, gray, human, lethal, mev, nuclear, patient, physics, qf, radiation, radioactivity, ray, sievert
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Difficulty
(3, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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