Tongenerator
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:
Kraft \(F\) / Geschwindigkeit \(v\) / Frequenz \(f\) / Wellenlänge \(\lambda\) / Massenbelegung \(\mu\) /
The following formulas must be used to solve the exercise:
\(f_B = f_S \cdot \frac{c\pm v_B}{c\mp v_S} \quad \) \(c = \lambda \cdot f \quad \) \(c = \sqrt{\frac{F}{\mu}} \quad \)
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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:
Ein mit MO belegtes Seil sei mit FO gespannt. Das Seil werde durch einen Tongenerator angeregt wodurch Wellen der Länge LO auf ihm entstehen. Welche Frequenz hört ein sich mit vO auf den Tongenerator zu beweger Beobachter?
Solution:
Geg mu MO M F FO F lambda LO L v vO v % GesFrequenzf siHz % Die Ausbreitungsgeschwindigkeit einer Welle auf dem Seil beträgt SolQtycpsqrtfracFmusqrtFX/MX al c' cpF sqrtfracFM cpQ. Die Frequenz des Tongenerators ruhe Schallquelle beträgt somit SolQtyfsfraclambda cpFcpX/LXHz al sscfS fracc'lambda fraccpFlambda fsF fraccpL fs. Der bewegte Beobachter nimmt deshalb eine Frequenz von SolQtyffsF fracc+vcfsX*cX+vX/cXHz al f sscfS fracc+vc fF fs fracc + vc f approx fS wahr. % f fF &approx fS Bemerkung: Im Rahmen der Signifikanz gibt es keinen Unterschied zwischen der gehörten und der ausgeseten Frequenz.
Ein mit MO belegtes Seil sei mit FO gespannt. Das Seil werde durch einen Tongenerator angeregt wodurch Wellen der Länge LO auf ihm entstehen. Welche Frequenz hört ein sich mit vO auf den Tongenerator zu beweger Beobachter?
Solution:
Geg mu MO M F FO F lambda LO L v vO v % GesFrequenzf siHz % Die Ausbreitungsgeschwindigkeit einer Welle auf dem Seil beträgt SolQtycpsqrtfracFmusqrtFX/MX al c' cpF sqrtfracFM cpQ. Die Frequenz des Tongenerators ruhe Schallquelle beträgt somit SolQtyfsfraclambda cpFcpX/LXHz al sscfS fracc'lambda fraccpFlambda fsF fraccpL fs. Der bewegte Beobachter nimmt deshalb eine Frequenz von SolQtyffsF fracc+vcfsX*cX+vX/cXHz al f sscfS fracc+vc fF fs fracc + vc f approx fS wahr. % f fF &approx fS Bemerkung: Im Rahmen der Signifikanz gibt es keinen Unterschied zwischen der gehörten und der ausgeseten Frequenz.
Meta Information
Exercise:
Ein mit MO belegtes Seil sei mit FO gespannt. Das Seil werde durch einen Tongenerator angeregt wodurch Wellen der Länge LO auf ihm entstehen. Welche Frequenz hört ein sich mit vO auf den Tongenerator zu beweger Beobachter?
Solution:
Geg mu MO M F FO F lambda LO L v vO v % GesFrequenzf siHz % Die Ausbreitungsgeschwindigkeit einer Welle auf dem Seil beträgt SolQtycpsqrtfracFmusqrtFX/MX al c' cpF sqrtfracFM cpQ. Die Frequenz des Tongenerators ruhe Schallquelle beträgt somit SolQtyfsfraclambda cpFcpX/LXHz al sscfS fracc'lambda fraccpFlambda fsF fraccpL fs. Der bewegte Beobachter nimmt deshalb eine Frequenz von SolQtyffsF fracc+vcfsX*cX+vX/cXHz al f sscfS fracc+vc fF fs fracc + vc f approx fS wahr. % f fF &approx fS Bemerkung: Im Rahmen der Signifikanz gibt es keinen Unterschied zwischen der gehörten und der ausgeseten Frequenz.
Ein mit MO belegtes Seil sei mit FO gespannt. Das Seil werde durch einen Tongenerator angeregt wodurch Wellen der Länge LO auf ihm entstehen. Welche Frequenz hört ein sich mit vO auf den Tongenerator zu beweger Beobachter?
Solution:
Geg mu MO M F FO F lambda LO L v vO v % GesFrequenzf siHz % Die Ausbreitungsgeschwindigkeit einer Welle auf dem Seil beträgt SolQtycpsqrtfracFmusqrtFX/MX al c' cpF sqrtfracFM cpQ. Die Frequenz des Tongenerators ruhe Schallquelle beträgt somit SolQtyfsfraclambda cpFcpX/LXHz al sscfS fracc'lambda fraccpFlambda fsF fraccpL fs. Der bewegte Beobachter nimmt deshalb eine Frequenz von SolQtyffsF fracc+vcfsX*cX+vX/cXHz al f sscfS fracc+vc fF fs fracc + vc f approx fS wahr. % f fF &approx fS Bemerkung: Im Rahmen der Signifikanz gibt es keinen Unterschied zwischen der gehörten und der ausgeseten Frequenz.
Contained in these collections:
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Dopplereffekt by uz
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Dopplereffekt und Wellengeschwindigkeit auf Seil by TeXercises
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Dopplereffekt by aej
Asked Quantity:
Frequenz \(f\)
in
Hertz \(\rm Hz\)
Physical Quantity
Unit