Kern- und Teilchenphysik: Radioaktivität 47
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
\(\LaTeX\)
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Exercise:
Eine Probe reines U- weist eine Aktivität von kBq auf. U- ist in der Liste radioaktiver Nuklide aufgeführt. a Nach welcher Zeit hat die Aktivität um .% abgenommen? b Welche Masse hat die Probe? c Wie gross wäre die mittlere Strahlenbelastung in einem Jahr wenn Sie diese Probe schlucken und in den Körper aufnehmen würden? Geben Sie die mittlere Energi und Äquivalentdosis an. d Berechnen Sie mit Hilfe der Masse des U- der Masse des Alphateilchens und von dessen Energie die Masse des Tochterkerns.
Solution:
% . . Lie. * &texta Asim N Rightarrow A A_^-t/T_/ Rightarrow lnfracAA_ -fractT_/ ln &quad t -fracT_/ln lnfracAA_ -frac.eeesialn ln-. uulineeeesia &textb A lambda N fracln T_/ fracm_Pm_a Rightarrow m_P fracAT_/m_aln .. uuline.sig &qquad m_P fraceeesiBq .eeesia .eeesis/a .siu .eesikg/uln uparrow &textc D fracEm fracAtE_m fraceeesiBq .eeesis .siMeV .eesiJ/MeVsikg &quad D .simGy uulinesimGy &quad H D w_R .simGy siSv/Gy uuline.siSv &textd ^_ mathrmU rightarrow ^_mathrmHe + ^_ mathrmTh &quad E_textTh fracm_textTh v_textTh^ fracm_textThleft fracm_textHev_textHem_textTh right^ fracm_textHem_textTh tfracm_textHev_textHe^ fracm_textHem_textTh E_textHe &quad m_textU m_textHe + m_textTh + E_textHe/c^ + E_textTh/c^ &m_textTh m_textU - m_textHe - E_textHe left - fracm_textHem_textTh right / c^ &m_textTh approx .siu - .siu - .siMeV left - frac.siusiuright div .siMeV/u &quad uuline.siu qquad texternet: ..siu * newpage
Eine Probe reines U- weist eine Aktivität von kBq auf. U- ist in der Liste radioaktiver Nuklide aufgeführt. a Nach welcher Zeit hat die Aktivität um .% abgenommen? b Welche Masse hat die Probe? c Wie gross wäre die mittlere Strahlenbelastung in einem Jahr wenn Sie diese Probe schlucken und in den Körper aufnehmen würden? Geben Sie die mittlere Energi und Äquivalentdosis an. d Berechnen Sie mit Hilfe der Masse des U- der Masse des Alphateilchens und von dessen Energie die Masse des Tochterkerns.
Solution:
% . . Lie. * &texta Asim N Rightarrow A A_^-t/T_/ Rightarrow lnfracAA_ -fractT_/ ln &quad t -fracT_/ln lnfracAA_ -frac.eeesialn ln-. uulineeeesia &textb A lambda N fracln T_/ fracm_Pm_a Rightarrow m_P fracAT_/m_aln .. uuline.sig &qquad m_P fraceeesiBq .eeesia .eeesis/a .siu .eesikg/uln uparrow &textc D fracEm fracAtE_m fraceeesiBq .eeesis .siMeV .eesiJ/MeVsikg &quad D .simGy uulinesimGy &quad H D w_R .simGy siSv/Gy uuline.siSv &textd ^_ mathrmU rightarrow ^_mathrmHe + ^_ mathrmTh &quad E_textTh fracm_textTh v_textTh^ fracm_textThleft fracm_textHev_textHem_textTh right^ fracm_textHem_textTh tfracm_textHev_textHe^ fracm_textHem_textTh E_textHe &quad m_textU m_textHe + m_textTh + E_textHe/c^ + E_textTh/c^ &m_textTh m_textU - m_textHe - E_textHe left - fracm_textHem_textTh right / c^ &m_textTh approx .siu - .siu - .siMeV left - frac.siusiuright div .siMeV/u &quad uuline.siu qquad texternet: ..siu * newpage
Meta Information
Exercise:
Eine Probe reines U- weist eine Aktivität von kBq auf. U- ist in der Liste radioaktiver Nuklide aufgeführt. a Nach welcher Zeit hat die Aktivität um .% abgenommen? b Welche Masse hat die Probe? c Wie gross wäre die mittlere Strahlenbelastung in einem Jahr wenn Sie diese Probe schlucken und in den Körper aufnehmen würden? Geben Sie die mittlere Energi und Äquivalentdosis an. d Berechnen Sie mit Hilfe der Masse des U- der Masse des Alphateilchens und von dessen Energie die Masse des Tochterkerns.
Solution:
% . . Lie. * &texta Asim N Rightarrow A A_^-t/T_/ Rightarrow lnfracAA_ -fractT_/ ln &quad t -fracT_/ln lnfracAA_ -frac.eeesialn ln-. uulineeeesia &textb A lambda N fracln T_/ fracm_Pm_a Rightarrow m_P fracAT_/m_aln .. uuline.sig &qquad m_P fraceeesiBq .eeesia .eeesis/a .siu .eesikg/uln uparrow &textc D fracEm fracAtE_m fraceeesiBq .eeesis .siMeV .eesiJ/MeVsikg &quad D .simGy uulinesimGy &quad H D w_R .simGy siSv/Gy uuline.siSv &textd ^_ mathrmU rightarrow ^_mathrmHe + ^_ mathrmTh &quad E_textTh fracm_textTh v_textTh^ fracm_textThleft fracm_textHev_textHem_textTh right^ fracm_textHem_textTh tfracm_textHev_textHe^ fracm_textHem_textTh E_textHe &quad m_textU m_textHe + m_textTh + E_textHe/c^ + E_textTh/c^ &m_textTh m_textU - m_textHe - E_textHe left - fracm_textHem_textTh right / c^ &m_textTh approx .siu - .siu - .siMeV left - frac.siusiuright div .siMeV/u &quad uuline.siu qquad texternet: ..siu * newpage
Eine Probe reines U- weist eine Aktivität von kBq auf. U- ist in der Liste radioaktiver Nuklide aufgeführt. a Nach welcher Zeit hat die Aktivität um .% abgenommen? b Welche Masse hat die Probe? c Wie gross wäre die mittlere Strahlenbelastung in einem Jahr wenn Sie diese Probe schlucken und in den Körper aufnehmen würden? Geben Sie die mittlere Energi und Äquivalentdosis an. d Berechnen Sie mit Hilfe der Masse des U- der Masse des Alphateilchens und von dessen Energie die Masse des Tochterkerns.
Solution:
% . . Lie. * &texta Asim N Rightarrow A A_^-t/T_/ Rightarrow lnfracAA_ -fractT_/ ln &quad t -fracT_/ln lnfracAA_ -frac.eeesialn ln-. uulineeeesia &textb A lambda N fracln T_/ fracm_Pm_a Rightarrow m_P fracAT_/m_aln .. uuline.sig &qquad m_P fraceeesiBq .eeesia .eeesis/a .siu .eesikg/uln uparrow &textc D fracEm fracAtE_m fraceeesiBq .eeesis .siMeV .eesiJ/MeVsikg &quad D .simGy uulinesimGy &quad H D w_R .simGy siSv/Gy uuline.siSv &textd ^_ mathrmU rightarrow ^_mathrmHe + ^_ mathrmTh &quad E_textTh fracm_textTh v_textTh^ fracm_textThleft fracm_textHev_textHem_textTh right^ fracm_textHem_textTh tfracm_textHev_textHe^ fracm_textHem_textTh E_textHe &quad m_textU m_textHe + m_textTh + E_textHe/c^ + E_textTh/c^ &m_textTh m_textU - m_textHe - E_textHe left - fracm_textHem_textTh right / c^ &m_textTh approx .siu - .siu - .siMeV left - frac.siusiuright div .siMeV/u &quad uuline.siu qquad texternet: ..siu * newpage
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