Quantenphysik: Atommodelle 8
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
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Video
\(\LaTeX\)
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Exercise:
Ein langer gerader dünner Draht sei gleichmässig positiv geladen mit gegebener Linienladungsdichte. Elektronen können diesen Draht umkreisen. Berechnen Sie in der Art von Bohr und deBroglie die möglichen Radien und Energien. quad
Solution:
% . August Lie. * &Lambda Delta Q / Deltaell qquad left| vecE right| fracpivarepsilon_ fracLambdar &pi r_n nlambda n frachmv &ma_z eE rightarrow fracmv^r e fracpivarepsilon_ fracLambdar Rightarrow v sqrt frace Lambdapivarepsilon_ m &r_n n frachpi m sqrt fracpivarepsilon_ m e Lambda n sqrtfrach^varepsilon_ pi m e Lambda n r_ &E_k tfracmv^ fracm fraceLambdapivarepsilon_ m fraceLambdapivarepsilon_ quad textunabhängig von r &E_p e U e Edr fraceLambdapivarepsilon_ fracdrr fraceLambdapivarepsilon_ lnfracrr_ quad textNullniveau bei r_ &E_n E_k+E_p fraceLambdapivarepsilon_ + fraceLambdapivarepsilon_ lnfracr_nr_ &E_n+-E_n fraceLambdapivarepsilon_lnfracn+n * Zahlenwerte: Sei Lambda ^-siC/m. * & v .eeesim/s &r_ .eesim qquad textGrössenordnung Atomdurchmesser &E_k .eesiJ .sieV * newpage
Ein langer gerader dünner Draht sei gleichmässig positiv geladen mit gegebener Linienladungsdichte. Elektronen können diesen Draht umkreisen. Berechnen Sie in der Art von Bohr und deBroglie die möglichen Radien und Energien. quad
Solution:
% . August Lie. * &Lambda Delta Q / Deltaell qquad left| vecE right| fracpivarepsilon_ fracLambdar &pi r_n nlambda n frachmv &ma_z eE rightarrow fracmv^r e fracpivarepsilon_ fracLambdar Rightarrow v sqrt frace Lambdapivarepsilon_ m &r_n n frachpi m sqrt fracpivarepsilon_ m e Lambda n sqrtfrach^varepsilon_ pi m e Lambda n r_ &E_k tfracmv^ fracm fraceLambdapivarepsilon_ m fraceLambdapivarepsilon_ quad textunabhängig von r &E_p e U e Edr fraceLambdapivarepsilon_ fracdrr fraceLambdapivarepsilon_ lnfracrr_ quad textNullniveau bei r_ &E_n E_k+E_p fraceLambdapivarepsilon_ + fraceLambdapivarepsilon_ lnfracr_nr_ &E_n+-E_n fraceLambdapivarepsilon_lnfracn+n * Zahlenwerte: Sei Lambda ^-siC/m. * & v .eeesim/s &r_ .eesim qquad textGrössenordnung Atomdurchmesser &E_k .eesiJ .sieV * newpage
Meta Information
Exercise:
Ein langer gerader dünner Draht sei gleichmässig positiv geladen mit gegebener Linienladungsdichte. Elektronen können diesen Draht umkreisen. Berechnen Sie in der Art von Bohr und deBroglie die möglichen Radien und Energien. quad
Solution:
% . August Lie. * &Lambda Delta Q / Deltaell qquad left| vecE right| fracpivarepsilon_ fracLambdar &pi r_n nlambda n frachmv &ma_z eE rightarrow fracmv^r e fracpivarepsilon_ fracLambdar Rightarrow v sqrt frace Lambdapivarepsilon_ m &r_n n frachpi m sqrt fracpivarepsilon_ m e Lambda n sqrtfrach^varepsilon_ pi m e Lambda n r_ &E_k tfracmv^ fracm fraceLambdapivarepsilon_ m fraceLambdapivarepsilon_ quad textunabhängig von r &E_p e U e Edr fraceLambdapivarepsilon_ fracdrr fraceLambdapivarepsilon_ lnfracrr_ quad textNullniveau bei r_ &E_n E_k+E_p fraceLambdapivarepsilon_ + fraceLambdapivarepsilon_ lnfracr_nr_ &E_n+-E_n fraceLambdapivarepsilon_lnfracn+n * Zahlenwerte: Sei Lambda ^-siC/m. * & v .eeesim/s &r_ .eesim qquad textGrössenordnung Atomdurchmesser &E_k .eesiJ .sieV * newpage
Ein langer gerader dünner Draht sei gleichmässig positiv geladen mit gegebener Linienladungsdichte. Elektronen können diesen Draht umkreisen. Berechnen Sie in der Art von Bohr und deBroglie die möglichen Radien und Energien. quad
Solution:
% . August Lie. * &Lambda Delta Q / Deltaell qquad left| vecE right| fracpivarepsilon_ fracLambdar &pi r_n nlambda n frachmv &ma_z eE rightarrow fracmv^r e fracpivarepsilon_ fracLambdar Rightarrow v sqrt frace Lambdapivarepsilon_ m &r_n n frachpi m sqrt fracpivarepsilon_ m e Lambda n sqrtfrach^varepsilon_ pi m e Lambda n r_ &E_k tfracmv^ fracm fraceLambdapivarepsilon_ m fraceLambdapivarepsilon_ quad textunabhängig von r &E_p e U e Edr fraceLambdapivarepsilon_ fracdrr fraceLambdapivarepsilon_ lnfracrr_ quad textNullniveau bei r_ &E_n E_k+E_p fraceLambdapivarepsilon_ + fraceLambdapivarepsilon_ lnfracr_nr_ &E_n+-E_n fraceLambdapivarepsilon_lnfracn+n * Zahlenwerte: Sei Lambda ^-siC/m. * & v .eeesim/s &r_ .eesim qquad textGrössenordnung Atomdurchmesser &E_k .eesiJ .sieV * newpage
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Quantenphysik: Atommodelle by Lie