Alter eines Knochens
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 \(t\) / Zerfallskonstante \(\lambda\) / Stoffmenge \(n\) / Halbwertszeit \(T\) / Aktivität \(A\) / Masse \(m\) / Anzahl \(N\) /
The following formulas must be used to solve the exercise:
\(A = \lambda \cdot N \quad \) \(A = m \hat A \quad \) \(N = n \cdot N_{\rm A} \quad \) \(A_t = A_0 \cdot \text{e}^{-\lambda t} \quad \) \(A_t = A_0 \cdot2^{-\frac{t}{T}} \quad \) \(N_t = N_0 \cdot \text{e}^{-\lambda t} \quad \) \(N_t = N_0 \cdot 2^{-\frac{t}{T}} \quad \)
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Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Eine Probe eines in einer archäologischen Fundstätte ausgegrabenen Knochens enthalte Gramm Kohlenstoff. Die isotopeC-Zerfallsrate betrage .Bq. Wie alt ist der Knochen? Die Anfangsaktivität aufgrund des isotopeC ist pro Gramm Kohlenstoff .Bq seine Halbwertszeit ist a.
Solution:
Geg m g .kg A_t .Bq hat A_ .becquerelpergram becquerelperkilogram T a .es GesAlter / Zeittsisecond Die Anfangsaktivität der angegebenen Masse Kohlenstoff beträgt: A_ m hat A_ .kg becquerelperkilogram .Bq Eingesetzt in die Formel für die Altersbestimmung mit der C--Methode erhalten wir: t -fracTln lnleftfracA_tA_right -fracTln lnleftfracA_tm hat A_right -frac.esln lnleftfrac.Bq.Bqright .es Der Knochen ist also rund numpr Jahre alt. t -fracTln lnleftfracA_tm hat A_right .es a
Eine Probe eines in einer archäologischen Fundstätte ausgegrabenen Knochens enthalte Gramm Kohlenstoff. Die isotopeC-Zerfallsrate betrage .Bq. Wie alt ist der Knochen? Die Anfangsaktivität aufgrund des isotopeC ist pro Gramm Kohlenstoff .Bq seine Halbwertszeit ist a.
Solution:
Geg m g .kg A_t .Bq hat A_ .becquerelpergram becquerelperkilogram T a .es GesAlter / Zeittsisecond Die Anfangsaktivität der angegebenen Masse Kohlenstoff beträgt: A_ m hat A_ .kg becquerelperkilogram .Bq Eingesetzt in die Formel für die Altersbestimmung mit der C--Methode erhalten wir: t -fracTln lnleftfracA_tA_right -fracTln lnleftfracA_tm hat A_right -frac.esln lnleftfrac.Bq.Bqright .es Der Knochen ist also rund numpr Jahre alt. t -fracTln lnleftfracA_tm hat A_right .es a
Meta Information
Exercise:
Eine Probe eines in einer archäologischen Fundstätte ausgegrabenen Knochens enthalte Gramm Kohlenstoff. Die isotopeC-Zerfallsrate betrage .Bq. Wie alt ist der Knochen? Die Anfangsaktivität aufgrund des isotopeC ist pro Gramm Kohlenstoff .Bq seine Halbwertszeit ist a.
Solution:
Geg m g .kg A_t .Bq hat A_ .becquerelpergram becquerelperkilogram T a .es GesAlter / Zeittsisecond Die Anfangsaktivität der angegebenen Masse Kohlenstoff beträgt: A_ m hat A_ .kg becquerelperkilogram .Bq Eingesetzt in die Formel für die Altersbestimmung mit der C--Methode erhalten wir: t -fracTln lnleftfracA_tA_right -fracTln lnleftfracA_tm hat A_right -frac.esln lnleftfrac.Bq.Bqright .es Der Knochen ist also rund numpr Jahre alt. t -fracTln lnleftfracA_tm hat A_right .es a
Eine Probe eines in einer archäologischen Fundstätte ausgegrabenen Knochens enthalte Gramm Kohlenstoff. Die isotopeC-Zerfallsrate betrage .Bq. Wie alt ist der Knochen? Die Anfangsaktivität aufgrund des isotopeC ist pro Gramm Kohlenstoff .Bq seine Halbwertszeit ist a.
Solution:
Geg m g .kg A_t .Bq hat A_ .becquerelpergram becquerelperkilogram T a .es GesAlter / Zeittsisecond Die Anfangsaktivität der angegebenen Masse Kohlenstoff beträgt: A_ m hat A_ .kg becquerelperkilogram .Bq Eingesetzt in die Formel für die Altersbestimmung mit der C--Methode erhalten wir: t -fracTln lnleftfracA_tA_right -fracTln lnleftfracA_tm hat A_right -frac.esln lnleftfrac.Bq.Bqright .es Der Knochen ist also rund numpr Jahre alt. t -fracTln lnleftfracA_tm hat A_right .es a
Contained in these collections
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C14-Methode by TeXercises
| Title | Matched on |
|---|---|
| Holzkohle | tags |
| Alter eines Knochens | tagstitle |
| Mumie des Tutenchamun | tags |
| Alter eines Holzstücks | tags |
| Alter von Gesteinsprobe | tags |
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