Exercise
https://texercises.com/exercise/whole-body-dose-1/
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The following quantities appear in the problem: Zeit \(t\) / Masse \(m\) / Energie \(E\) / Aktivität \(A\) / Äquivalentdosis \(H\) / Radius \(r\) / Oberfläche \(S\) / Zerfallskonstante \(\lambda\) / Energiedosis \(D\) /
The following formulas must be used to solve the exercise: \(D = \dfrac{E}{m} \quad \) \(S = 4 \pi r^2 \quad \) \(A_t = A_0 \cdot \text{e}^{-\lambda t} \quad \) \(H = qD \quad \)
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Exercise:
A kg laboratory worker exposed to a isotopeCo source working .m from the source for .h receives a wholbody dose of .mSv. Ase the person's body has a cross-sectional area of .metersquared. isotopeCo emits upgamma rays of energy .MeV and .MeV in quick succession approximately % of which eract with the body and deposit all their energy. Calculate the activity of the source!

Solution:
The energy absorbed dose is: D fracHq pq.Gy The total energy absorbed by the workers body is: E m D m fracHq pq.J The number of nuclear reactions that deposit their energy in the workers body is: tilde N fracEE_ numpr.e The total number of nuclear reactions radiating in the bodys direction taking o account that only % eract with the body is: N_A fractilde N. numpr.e The total number of reactions in the source taking o account that it does not only radiate in the bodys direction but uniformly distributed in a sphere around the source is: N fracN_AA S fracN_AA pi r^ numpr.e Finally the activity of the source is: A fracNt pq.eBq
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Exercise:
A kg laboratory worker exposed to a isotopeCo source working .m from the source for .h receives a wholbody dose of .mSv. Ase the person's body has a cross-sectional area of .metersquared. isotopeCo emits upgamma rays of energy .MeV and .MeV in quick succession approximately % of which eract with the body and deposit all their energy. Calculate the activity of the source!

Solution:
The energy absorbed dose is: D fracHq pq.Gy The total energy absorbed by the workers body is: E m D m fracHq pq.J The number of nuclear reactions that deposit their energy in the workers body is: tilde N fracEE_ numpr.e The total number of nuclear reactions radiating in the bodys direction taking o account that only % eract with the body is: N_A fractilde N. numpr.e The total number of reactions in the source taking o account that it does not only radiate in the bodys direction but uniformly distributed in a sphere around the source is: N fracN_AA S fracN_AA pi r^ numpr.e Finally the activity of the source is: A fracNt pq.eBq
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Attributes & Decorations
Branches
Work, Energy, Power
Tags
biology, cobalt, dose, energy, lethal, nuclear, physics, radioactivity, radiometry, sievert, worker
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Difficulty
(3, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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