Geometrische Optik : Reflexion und Brechung 12
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:
Winkel \(\theta\) / Brechzahl \(n\) /
The following formulas must be used to solve the exercise:
\(n_1 \sin\alpha_1 = n_2 \sin\alpha_2 \quad \)
No explanation / solution video to this exercise has yet been created.
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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:
Der Einfallswinkel betrage .sidegree der Brechungswinkel in Wasser .sidegree. a Wie gross ist der Brechungsindex des Einfallsmediums? b Berechnen Sie den Grenzwinkel der Totalreflexion.
Solution:
% . April Lie. * &texta n_sinalpha_ n_sinalpha_ Rightarrow n_ n_fracsinalpha_sinalpha_ .fracsin.sidegreesin.sidegree uuline. &textb n_sinalpha_G n_sinsidegree Rightarrow alpha_G fracn_n_ fracsinalpha_sinalpha_ Rightarrow &qquad alpha_G arcsinleft fracsinalpha_sinalpha_ right arcsinleft fracsin.sidegreesin.sidegree right uuline.sidegree * newpage
Der Einfallswinkel betrage .sidegree der Brechungswinkel in Wasser .sidegree. a Wie gross ist der Brechungsindex des Einfallsmediums? b Berechnen Sie den Grenzwinkel der Totalreflexion.
Solution:
% . April Lie. * &texta n_sinalpha_ n_sinalpha_ Rightarrow n_ n_fracsinalpha_sinalpha_ .fracsin.sidegreesin.sidegree uuline. &textb n_sinalpha_G n_sinsidegree Rightarrow alpha_G fracn_n_ fracsinalpha_sinalpha_ Rightarrow &qquad alpha_G arcsinleft fracsinalpha_sinalpha_ right arcsinleft fracsin.sidegreesin.sidegree right uuline.sidegree * newpage
Meta Information
Exercise:
Der Einfallswinkel betrage .sidegree der Brechungswinkel in Wasser .sidegree. a Wie gross ist der Brechungsindex des Einfallsmediums? b Berechnen Sie den Grenzwinkel der Totalreflexion.
Solution:
% . April Lie. * &texta n_sinalpha_ n_sinalpha_ Rightarrow n_ n_fracsinalpha_sinalpha_ .fracsin.sidegreesin.sidegree uuline. &textb n_sinalpha_G n_sinsidegree Rightarrow alpha_G fracn_n_ fracsinalpha_sinalpha_ Rightarrow &qquad alpha_G arcsinleft fracsinalpha_sinalpha_ right arcsinleft fracsin.sidegreesin.sidegree right uuline.sidegree * newpage
Der Einfallswinkel betrage .sidegree der Brechungswinkel in Wasser .sidegree. a Wie gross ist der Brechungsindex des Einfallsmediums? b Berechnen Sie den Grenzwinkel der Totalreflexion.
Solution:
% . April Lie. * &texta n_sinalpha_ n_sinalpha_ Rightarrow n_ n_fracsinalpha_sinalpha_ .fracsin.sidegreesin.sidegree uuline. &textb n_sinalpha_G n_sinsidegree Rightarrow alpha_G fracn_n_ fracsinalpha_sinalpha_ Rightarrow &qquad alpha_G arcsinleft fracsinalpha_sinalpha_ right arcsinleft fracsin.sidegreesin.sidegree right uuline.sidegree * newpage
Contained in these collections:
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Magnetismus und Optik by ha
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Snellius'sches Brechungsgesetz by TeXercises
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