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Holzaxt

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Why we use chess pieces? Well... we like chess, we like playing around with

\LaTeX

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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 -

Exercise

https://texercises.raemilab.ch/exercise/holzaxt/

Question

Solution

Short

Video

\LaTeX

Need help? Yes, please!

The following quantities appear in the problem: Zeit

t

/ Masse

m

/ Aktivität

A

/ Halbwertszeit

T

/ Zerfallskonstante

\lambda

The following formulas must be used to solve the exercise:

A = m \hat A \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:
Wenn man einer in einer archäologischen Ausgrabungsstätte gefundenen Holzaxt ein Gramm Kohlenstoff entnimmt so findet man darin noch rund numpr.e isotopeC-Atome. Welches Alter hat die Axt ungefähr? Die Anfangsaktivität von isotopeC beträgt pq.Bq/g seine Halbwertszeit ist pqa.

Solution:
In dem Gramm Kohlenstoff glqq von heutegrqq findet man numpr.e Kerne; diese haben eine Aktivität von A lambda N pq.Bq. Ein Gramm frischer Kohlenstoff hatte bzw. hat -- damals wie heute -- eine Anfangsaktivität von A_ pq.Bq. Gemäss dem Zerfallsgesetz besteht zwischen den beiden Aktivitäten folge Beziehung: A A_ e^-lambda t Aufgelöst nach der gesuchten Zeit t erhält man: t fraclambda ln leftfracA_Aright fracT_hln ln leftfracA_Aright pqa

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Attributes & Decorations

Tags	altersbestimmung, holz, kernphysik, physik, radioaktivität, radiokarbonmethode
Content image
Difficulty	(2, default)
Points	5 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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