Brown'sche Bewegung unter dem Mikroskop
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
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Exercise:
Einstein und andere haben gezeigt dass die Brown'sche Bewegung von kleinen Teilchen unter dem Mikroskop die Beziehung left x^ right t kT/pi reta befolgt. Darin bedeutet left x^ right den Mittelwert des Quadrats der Koordinate x t die Zeit k die Boltzmannkonstante T die absolute Temperatur pi ist die Kreiszahl r der Teilchenradius und eta die Zähigkeit des Lösungsmittels. Diskutieren Sie die Formel im Lichte dessen was wir über Diffusion gelernt haben.
Solution:
Die Formel zeigt das zeitlich richtige Verhalten für Diffusion: overlinex propto sqrtt. Je höher die Temperatur desto höher die Geschwindigkeit der Teilchen passt zum mikroskopischen Bild der Wärmebewegung. Je grösser das Teilchen und je grösser die Zähigkeit des Mediums desto kleiner die Beweglichkeit der Teilchen.
Einstein und andere haben gezeigt dass die Brown'sche Bewegung von kleinen Teilchen unter dem Mikroskop die Beziehung left x^ right t kT/pi reta befolgt. Darin bedeutet left x^ right den Mittelwert des Quadrats der Koordinate x t die Zeit k die Boltzmannkonstante T die absolute Temperatur pi ist die Kreiszahl r der Teilchenradius und eta die Zähigkeit des Lösungsmittels. Diskutieren Sie die Formel im Lichte dessen was wir über Diffusion gelernt haben.
Solution:
Die Formel zeigt das zeitlich richtige Verhalten für Diffusion: overlinex propto sqrtt. Je höher die Temperatur desto höher die Geschwindigkeit der Teilchen passt zum mikroskopischen Bild der Wärmebewegung. Je grösser das Teilchen und je grösser die Zähigkeit des Mediums desto kleiner die Beweglichkeit der Teilchen.
Meta Information
Exercise:
Einstein und andere haben gezeigt dass die Brown'sche Bewegung von kleinen Teilchen unter dem Mikroskop die Beziehung left x^ right t kT/pi reta befolgt. Darin bedeutet left x^ right den Mittelwert des Quadrats der Koordinate x t die Zeit k die Boltzmannkonstante T die absolute Temperatur pi ist die Kreiszahl r der Teilchenradius und eta die Zähigkeit des Lösungsmittels. Diskutieren Sie die Formel im Lichte dessen was wir über Diffusion gelernt haben.
Solution:
Die Formel zeigt das zeitlich richtige Verhalten für Diffusion: overlinex propto sqrtt. Je höher die Temperatur desto höher die Geschwindigkeit der Teilchen passt zum mikroskopischen Bild der Wärmebewegung. Je grösser das Teilchen und je grösser die Zähigkeit des Mediums desto kleiner die Beweglichkeit der Teilchen.
Einstein und andere haben gezeigt dass die Brown'sche Bewegung von kleinen Teilchen unter dem Mikroskop die Beziehung left x^ right t kT/pi reta befolgt. Darin bedeutet left x^ right den Mittelwert des Quadrats der Koordinate x t die Zeit k die Boltzmannkonstante T die absolute Temperatur pi ist die Kreiszahl r der Teilchenradius und eta die Zähigkeit des Lösungsmittels. Diskutieren Sie die Formel im Lichte dessen was wir über Diffusion gelernt haben.
Solution:
Die Formel zeigt das zeitlich richtige Verhalten für Diffusion: overlinex propto sqrtt. Je höher die Temperatur desto höher die Geschwindigkeit der Teilchen passt zum mikroskopischen Bild der Wärmebewegung. Je grösser das Teilchen und je grösser die Zähigkeit des Mediums desto kleiner die Beweglichkeit der Teilchen.
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