Banknote
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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Exercise:
Swiss banknotes feature a series of security features that are designed to make it very hard to counterfeit the notes. One of them is a series of microscopic holes with a diamter of dO. vspacemm In order to verify the correct diameter of the holes the erference pattern for the light from a HNe laser laO is analysed on a screen lO from the banknote. Calculate the radii of the first three dark circles minima on the screen.
Solution:
The angles for the minima are given by sinalpha_k z_kfraclambdad Asing small angles the radius of the kth dark circle on the screen is r_k elltanalpha_k approx ellsinalpha_k raF For the first circle z_approx zaO we find r_ ltimeszatimesfraclad ra approx resultraP- For the second z_approxzbO and third z_approxzcO minimum we find r_resultrbP- and r_resultrcP- respectively.
Swiss banknotes feature a series of security features that are designed to make it very hard to counterfeit the notes. One of them is a series of microscopic holes with a diamter of dO. vspacemm In order to verify the correct diameter of the holes the erference pattern for the light from a HNe laser laO is analysed on a screen lO from the banknote. Calculate the radii of the first three dark circles minima on the screen.
Solution:
The angles for the minima are given by sinalpha_k z_kfraclambdad Asing small angles the radius of the kth dark circle on the screen is r_k elltanalpha_k approx ellsinalpha_k raF For the first circle z_approx zaO we find r_ ltimeszatimesfraclad ra approx resultraP- For the second z_approxzbO and third z_approxzcO minimum we find r_resultrbP- and r_resultrcP- respectively.
Meta Information
Exercise:
Swiss banknotes feature a series of security features that are designed to make it very hard to counterfeit the notes. One of them is a series of microscopic holes with a diamter of dO. vspacemm In order to verify the correct diameter of the holes the erference pattern for the light from a HNe laser laO is analysed on a screen lO from the banknote. Calculate the radii of the first three dark circles minima on the screen.
Solution:
The angles for the minima are given by sinalpha_k z_kfraclambdad Asing small angles the radius of the kth dark circle on the screen is r_k elltanalpha_k approx ellsinalpha_k raF For the first circle z_approx zaO we find r_ ltimeszatimesfraclad ra approx resultraP- For the second z_approxzbO and third z_approxzcO minimum we find r_resultrbP- and r_resultrcP- respectively.
Swiss banknotes feature a series of security features that are designed to make it very hard to counterfeit the notes. One of them is a series of microscopic holes with a diamter of dO. vspacemm In order to verify the correct diameter of the holes the erference pattern for the light from a HNe laser laO is analysed on a screen lO from the banknote. Calculate the radii of the first three dark circles minima on the screen.
Solution:
The angles for the minima are given by sinalpha_k z_kfraclambdad Asing small angles the radius of the kth dark circle on the screen is r_k elltanalpha_k approx ellsinalpha_k raF For the first circle z_approx zaO we find r_ ltimeszatimesfraclad ra approx resultraP- For the second z_approxzbO and third z_approxzcO minimum we find r_resultrbP- and r_resultrcP- respectively.
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