Polarisatoren
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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Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
minipaget.linewidth Die zwei Abbildungen zeigen jeweils zwei Polarisatoren mit ihren Transmissionsachsen. Das auf den ersten Polarisator einfalle Licht ist in beiden Fällen unpolarisiert und hat eine Intensit"at von W/m^. Wie gross ist die Intensit"at des Lichts jeweils nachdem es beide Polarisatoren passiert hat? minipage minipagetb.linewidth center tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %Option for nice arrows stealth % inner seppt outer seppt% axis/.stylethick- wave/.stylethickcolor#smooth polaroid/.stylefillblack!!white opacity. % Colors colorletdarkgreengreen!!black colorletlightgreengreen!!black colorletdarkredred!!black colorletlightredred!!black % Frame coordinate O at ; %drawaxis O -- + node right z; drawthickdotted- O+- -- ; drawthick- red -- -- -; drawthick- red -- -- -; drawthick- red --.-. -- -..; drawthick- red --.. -- -.-.; %Polarizer with rectangle scopethick shift - draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face draw-thin .-. -- ..; draw- .-.*..*. -- ..*.-.*.; draw- . .node below right ang arc ::.cm ; scope scopethick shift draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope tikzpicture tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %Option for nice arrows stealth % inner seppt outer seppt% axis/.stylethick- wave/.stylethickcolor#smooth polaroid/.stylefillblack!!white opacity. % Colors colorletdarkgreengreen!!black colorletlightgreengreen!!black colorletdarkredred!!black colorletlightredred!!black % Frame coordinate O at ; %drawaxis O -- + node right z; drawthickdotted- O+- -- ; drawthick- red -- -- -; drawthick- red -- -- -; drawthick- red --.-. -- -..; drawthick- red --.. -- -.-.; %Polarizer with rectangle scopethick shift - draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope scopethick shift draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope tikzpicture center minipage
Solution:
minipaget.linewidth Die zwei Abbildungen zeigen jeweils zwei Polarisatoren mit ihren Transmissionsachsen. Das auf den ersten Polarisator einfalle Licht ist in beiden Fällen unpolarisiert und hat eine Intensit"at von W/m^. Wie gross ist die Intensit"at des Lichts jeweils nachdem es beide Polarisatoren passiert hat? minipage minipagetb.linewidth center tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %Option for nice arrows stealth % inner seppt outer seppt% axis/.stylethick- wave/.stylethickcolor#smooth polaroid/.stylefillblack!!white opacity. % Colors colorletdarkgreengreen!!black colorletlightgreengreen!!black colorletdarkredred!!black colorletlightredred!!black % Frame coordinate O at ; %drawaxis O -- + node right z; drawthickdotted- O+- -- ; drawthick- red -- -- -; drawthick- red -- -- -; drawthick- red --.-. -- -..; drawthick- red --.. -- -.-.; %Polarizer with rectangle scopethick shift - draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face draw-thin .-. -- ..; draw- .-.*..*. -- ..*.-.*.; draw- . .node below right ang arc ::.cm ; scope scopethick shift draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope tikzpicture tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %Option for nice arrows stealth % inner seppt outer seppt% axis/.stylethick- wave/.stylethickcolor#smooth polaroid/.stylefillblack!!white opacity. % Colors colorletdarkgreengreen!!black colorletlightgreengreen!!black colorletdarkredred!!black colorletlightredred!!black % Frame coordinate O at ; %drawaxis O -- + node right z; drawthickdotted- O+- -- ; drawthick- red -- -- -; drawthick- red -- -- -; drawthick- red --.-. -- -..; drawthick- red --.. -- -.-.; %Polarizer with rectangle scopethick shift - draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope scopethick shift draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope tikzpicture center minipage
Solution:
Meta Information
Exercise:
minipaget.linewidth Die zwei Abbildungen zeigen jeweils zwei Polarisatoren mit ihren Transmissionsachsen. Das auf den ersten Polarisator einfalle Licht ist in beiden Fällen unpolarisiert und hat eine Intensit"at von W/m^. Wie gross ist die Intensit"at des Lichts jeweils nachdem es beide Polarisatoren passiert hat? minipage minipagetb.linewidth center tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %Option for nice arrows stealth % inner seppt outer seppt% axis/.stylethick- wave/.stylethickcolor#smooth polaroid/.stylefillblack!!white opacity. % Colors colorletdarkgreengreen!!black colorletlightgreengreen!!black colorletdarkredred!!black colorletlightredred!!black % Frame coordinate O at ; %drawaxis O -- + node right z; drawthickdotted- O+- -- ; drawthick- red -- -- -; drawthick- red -- -- -; drawthick- red --.-. -- -..; drawthick- red --.. -- -.-.; %Polarizer with rectangle scopethick shift - draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face draw-thin .-. -- ..; draw- .-.*..*. -- ..*.-.*.; draw- . .node below right ang arc ::.cm ; scope scopethick shift draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope tikzpicture tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %Option for nice arrows stealth % inner seppt outer seppt% axis/.stylethick- wave/.stylethickcolor#smooth polaroid/.stylefillblack!!white opacity. % Colors colorletdarkgreengreen!!black colorletlightgreengreen!!black colorletdarkredred!!black colorletlightredred!!black % Frame coordinate O at ; %drawaxis O -- + node right z; drawthickdotted- O+- -- ; drawthick- red -- -- -; drawthick- red -- -- -; drawthick- red --.-. -- -..; drawthick- red --.. -- -.-.; %Polarizer with rectangle scopethick shift - draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope scopethick shift draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope tikzpicture center minipage
Solution:
minipaget.linewidth Die zwei Abbildungen zeigen jeweils zwei Polarisatoren mit ihren Transmissionsachsen. Das auf den ersten Polarisator einfalle Licht ist in beiden Fällen unpolarisiert und hat eine Intensit"at von W/m^. Wie gross ist die Intensit"at des Lichts jeweils nachdem es beide Polarisatoren passiert hat? minipage minipagetb.linewidth center tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %Option for nice arrows stealth % inner seppt outer seppt% axis/.stylethick- wave/.stylethickcolor#smooth polaroid/.stylefillblack!!white opacity. % Colors colorletdarkgreengreen!!black colorletlightgreengreen!!black colorletdarkredred!!black colorletlightredred!!black % Frame coordinate O at ; %drawaxis O -- + node right z; drawthickdotted- O+- -- ; drawthick- red -- -- -; drawthick- red -- -- -; drawthick- red --.-. -- -..; drawthick- red --.. -- -.-.; %Polarizer with rectangle scopethick shift - draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face draw-thin .-. -- ..; draw- .-.*..*. -- ..*.-.*.; draw- . .node below right ang arc ::.cm ; scope scopethick shift draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope tikzpicture tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %tikzpicturex.cm-.cm y.cm.cm zcmcm scale. %Option for nice arrows stealth % inner seppt outer seppt% axis/.stylethick- wave/.stylethickcolor#smooth polaroid/.stylefillblack!!white opacity. % Colors colorletdarkgreengreen!!black colorletlightgreengreen!!black colorletdarkredred!!black colorletlightredred!!black % Frame coordinate O at ; %drawaxis O -- + node right z; drawthickdotted- O+- -- ; drawthick- red -- -- -; drawthick- red -- -- -; drawthick- red --.-. -- -..; drawthick- red --.. -- -.-.; %Polarizer with rectangle scopethick shift - draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope scopethick shift draw --. -- -. -- . -- -. -- cycle % First face - -. -- . --. -. -- . -. - . -- . - . . -- . . .- -. -- . - . -- . . -- . -. -- cycle; % Second face drawthin - .-. -- ..; draw- .-.*.-.*. -- ..*..*.; draw- . . arc ::.cm node below right ang; scope tikzpicture center minipage
Solution:
Contained in these collections: