Zwei Stimmgabeln
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:
Zwei .m voneinander entfernte Stimmgabeln werden gleich stark angeschlagen und erzeugen dadurch den Kammerton. Die von ihnen erzeugten Schallwellen können im Bereich zwischen den Stimmgabeln mit den Funktionen al u_xt hat u sinomega t - kx u_xt hat u cosomega t + kx beschrieben werden wobei x die Position relativ zu einer der beiden Stimmgabeln ist. abclist abc Berechne die Wellenlänge des Kammertons in Luft. abc Gib die Funktion der resultieren Welle uxt u_xt + u_xt in möglichst einfacher Form an. abc Gib die ersten drei Positionen an an denen kein Ton hörbar ist. abclist
Solution:
abclist abc al lambda fraccf fracHz .m abc Die Funktion kann geschrieben werden als al uxt hat u qty sinomega t - kx + cosomega t + kx hat u qty sinomega t - kx + sinomega t + kx + fracpi hat u sinfracomega t - kx + omega t + kx + phi + fracpi cosfracomega t - kx - omega t - kx - phi - fracpi hat u sinomega t + fracpi coskx + fracpi abc An den Positionen an denen kein Ton hörbar ist gilt al coskx_- + fracpi kx_- + fracpi qtyn+fracpi x_- fracnkpi + fracpik - fracpik fracnpik + fracpik qtyn+fracfracpik qtyn+frac fraclambda x_ fraclambda .cm x_ cm x_ cm abclist
Zwei .m voneinander entfernte Stimmgabeln werden gleich stark angeschlagen und erzeugen dadurch den Kammerton. Die von ihnen erzeugten Schallwellen können im Bereich zwischen den Stimmgabeln mit den Funktionen al u_xt hat u sinomega t - kx u_xt hat u cosomega t + kx beschrieben werden wobei x die Position relativ zu einer der beiden Stimmgabeln ist. abclist abc Berechne die Wellenlänge des Kammertons in Luft. abc Gib die Funktion der resultieren Welle uxt u_xt + u_xt in möglichst einfacher Form an. abc Gib die ersten drei Positionen an an denen kein Ton hörbar ist. abclist
Solution:
abclist abc al lambda fraccf fracHz .m abc Die Funktion kann geschrieben werden als al uxt hat u qty sinomega t - kx + cosomega t + kx hat u qty sinomega t - kx + sinomega t + kx + fracpi hat u sinfracomega t - kx + omega t + kx + phi + fracpi cosfracomega t - kx - omega t - kx - phi - fracpi hat u sinomega t + fracpi coskx + fracpi abc An den Positionen an denen kein Ton hörbar ist gilt al coskx_- + fracpi kx_- + fracpi qtyn+fracpi x_- fracnkpi + fracpik - fracpik fracnpik + fracpik qtyn+fracfracpik qtyn+frac fraclambda x_ fraclambda .cm x_ cm x_ cm abclist
Meta Information
Exercise:
Zwei .m voneinander entfernte Stimmgabeln werden gleich stark angeschlagen und erzeugen dadurch den Kammerton. Die von ihnen erzeugten Schallwellen können im Bereich zwischen den Stimmgabeln mit den Funktionen al u_xt hat u sinomega t - kx u_xt hat u cosomega t + kx beschrieben werden wobei x die Position relativ zu einer der beiden Stimmgabeln ist. abclist abc Berechne die Wellenlänge des Kammertons in Luft. abc Gib die Funktion der resultieren Welle uxt u_xt + u_xt in möglichst einfacher Form an. abc Gib die ersten drei Positionen an an denen kein Ton hörbar ist. abclist
Solution:
abclist abc al lambda fraccf fracHz .m abc Die Funktion kann geschrieben werden als al uxt hat u qty sinomega t - kx + cosomega t + kx hat u qty sinomega t - kx + sinomega t + kx + fracpi hat u sinfracomega t - kx + omega t + kx + phi + fracpi cosfracomega t - kx - omega t - kx - phi - fracpi hat u sinomega t + fracpi coskx + fracpi abc An den Positionen an denen kein Ton hörbar ist gilt al coskx_- + fracpi kx_- + fracpi qtyn+fracpi x_- fracnkpi + fracpik - fracpik fracnpik + fracpik qtyn+fracfracpik qtyn+frac fraclambda x_ fraclambda .cm x_ cm x_ cm abclist
Zwei .m voneinander entfernte Stimmgabeln werden gleich stark angeschlagen und erzeugen dadurch den Kammerton. Die von ihnen erzeugten Schallwellen können im Bereich zwischen den Stimmgabeln mit den Funktionen al u_xt hat u sinomega t - kx u_xt hat u cosomega t + kx beschrieben werden wobei x die Position relativ zu einer der beiden Stimmgabeln ist. abclist abc Berechne die Wellenlänge des Kammertons in Luft. abc Gib die Funktion der resultieren Welle uxt u_xt + u_xt in möglichst einfacher Form an. abc Gib die ersten drei Positionen an an denen kein Ton hörbar ist. abclist
Solution:
abclist abc al lambda fraccf fracHz .m abc Die Funktion kann geschrieben werden als al uxt hat u qty sinomega t - kx + cosomega t + kx hat u qty sinomega t - kx + sinomega t + kx + fracpi hat u sinfracomega t - kx + omega t + kx + phi + fracpi cosfracomega t - kx - omega t - kx - phi - fracpi hat u sinomega t + fracpi coskx + fracpi abc An den Positionen an denen kein Ton hörbar ist gilt al coskx_- + fracpi kx_- + fracpi qtyn+fracpi x_- fracnkpi + fracpik - fracpik fracnpik + fracpik qtyn+fracfracpik qtyn+frac fraclambda x_ fraclambda .cm x_ cm x_ cm abclist
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Zwei Stimmgabeln by TeXercises