Brachytherapie mit Palladium-103
About points...
We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
About difficulty...
We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
Question
Solution
Short
Video
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
Zeit \(t\) / Aktivität \(A\) / Halbwertszeit \(T\) / Zerfallskonstante \(\lambda\) / Anzahl \(N\) /
The following formulas must be used to solve the exercise:
\(A = \lambda \cdot N \quad \) \(A_t = A_0 \cdot \text{e}^{-\lambda t} \quad \) \(A_t = A_0 \cdot2^{-\frac{t}{T}} \quad \)
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Exercise:
Bei der Brachytherapeie mit Palladium- werden kleine samenförmige Implantate die von einer Titan-Hülle umschlossene radioaktive Stoffe enthalten nahe an einen Tumor in den Körper eingesetzt. Diese sogenannten enquoteSeeds enthalten anfänglich total nur etwa NzO radioaktive isotopePd-Isotope mit TO Halbwertszeit. Welche Aktivität weisen diese Seeds nach tO noch auf?
Solution:
Geg n NzO Rightarrow N Nz T TO T t tO t GesAktivitätAsiBq Am Anfang beträgt die Aktivität A_ lambda N lambda fracnsscNA lam N Az nach Ablauf von tO also noch: A_t A_ ^-fractT lambda fracnsscNA ^-fractT At approx AtS AtP A_t lambda fracnsscNA ^-fractT AtS AtP
Bei der Brachytherapeie mit Palladium- werden kleine samenförmige Implantate die von einer Titan-Hülle umschlossene radioaktive Stoffe enthalten nahe an einen Tumor in den Körper eingesetzt. Diese sogenannten enquoteSeeds enthalten anfänglich total nur etwa NzO radioaktive isotopePd-Isotope mit TO Halbwertszeit. Welche Aktivität weisen diese Seeds nach tO noch auf?
Solution:
Geg n NzO Rightarrow N Nz T TO T t tO t GesAktivitätAsiBq Am Anfang beträgt die Aktivität A_ lambda N lambda fracnsscNA lam N Az nach Ablauf von tO also noch: A_t A_ ^-fractT lambda fracnsscNA ^-fractT At approx AtS AtP A_t lambda fracnsscNA ^-fractT AtS AtP
Meta Information
Exercise:
Bei der Brachytherapeie mit Palladium- werden kleine samenförmige Implantate die von einer Titan-Hülle umschlossene radioaktive Stoffe enthalten nahe an einen Tumor in den Körper eingesetzt. Diese sogenannten enquoteSeeds enthalten anfänglich total nur etwa NzO radioaktive isotopePd-Isotope mit TO Halbwertszeit. Welche Aktivität weisen diese Seeds nach tO noch auf?
Solution:
Geg n NzO Rightarrow N Nz T TO T t tO t GesAktivitätAsiBq Am Anfang beträgt die Aktivität A_ lambda N lambda fracnsscNA lam N Az nach Ablauf von tO also noch: A_t A_ ^-fractT lambda fracnsscNA ^-fractT At approx AtS AtP A_t lambda fracnsscNA ^-fractT AtS AtP
Bei der Brachytherapeie mit Palladium- werden kleine samenförmige Implantate die von einer Titan-Hülle umschlossene radioaktive Stoffe enthalten nahe an einen Tumor in den Körper eingesetzt. Diese sogenannten enquoteSeeds enthalten anfänglich total nur etwa NzO radioaktive isotopePd-Isotope mit TO Halbwertszeit. Welche Aktivität weisen diese Seeds nach tO noch auf?
Solution:
Geg n NzO Rightarrow N Nz T TO T t tO t GesAktivitätAsiBq Am Anfang beträgt die Aktivität A_ lambda N lambda fracnsscNA lam N Az nach Ablauf von tO also noch: A_t A_ ^-fractT lambda fracnsscNA ^-fractT At approx AtS AtP A_t lambda fracnsscNA ^-fractT AtS AtP
Contained in these collections:
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Aktivität und Zerfall der Aktivität by TeXercises
Asked Quantity:
Aktivität \(A\)
in
Becquerel \(\rm Bq\)
Physical Quantity
Aktivität \(A\)
Anzahl Kernzerfälle pro Zeit
\( A = \dfrac{\Delta N}{\Delta t}\)
Unit
Becquerel (\(\rm Bq\))
Base?
SI?
Metric?
Coherent?
Imperial?
\(\rm25\,MBq\): Kilogramm Uran
\(\rm10\,kBq\): menschlicher Körper
\(\rm15\,Bq\): Kubikmeter Luft
\(\rm100\,Bq\): Kilogramm Nahrungsmittel