Umkehrung des Beta-Zerfalls: Neutronen erzeugen
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:
DuSieNimmNehmen Sie an die Sonne sei eine homogene Kugel aus Wasserstoff. Auf welchen Radius müsste sie sich zusammenziehen um genüg Energie bereit zu stellen alle Protonen mit den Elektronen zu Neutronen zu verbinden? Pro Neutron müssen dafür EeO aufgewet werden Umkehrung des Betazerfalls des Neutrons.
Solution:
&N approx fracm_Sm_N qquad text Anzahl Protonen/Neutronen/Wasserstoffatome &E_G -fracfracGm^r qquad textgravitative Selbstenergie einer homogenen Kugel &fracGm_S^r_N -fracGm_S^r_S N E_ fracm_Sm_N E_ &fracGm_Sr_N fracE_m_N+fracGm_Sr_S &r_N left fracE_Gm_Sm_N+fracr_S right^- &r_N left frac .siMeV .eesiJ/MeV .eesiNm^/kg^ .eeesikg .eesikg + frac.eeesim right^- &r_N .eeesim uuline.eeesim Ausrufbox Neutronensterne haben Radien in der Grössenordnung von km sind also rund -mal kleiner. Die Energie zur Bildung eines Neutronensterns stammt aus der Gravitation. Ausrufbox
DuSieNimmNehmen Sie an die Sonne sei eine homogene Kugel aus Wasserstoff. Auf welchen Radius müsste sie sich zusammenziehen um genüg Energie bereit zu stellen alle Protonen mit den Elektronen zu Neutronen zu verbinden? Pro Neutron müssen dafür EeO aufgewet werden Umkehrung des Betazerfalls des Neutrons.
Solution:
&N approx fracm_Sm_N qquad text Anzahl Protonen/Neutronen/Wasserstoffatome &E_G -fracfracGm^r qquad textgravitative Selbstenergie einer homogenen Kugel &fracGm_S^r_N -fracGm_S^r_S N E_ fracm_Sm_N E_ &fracGm_Sr_N fracE_m_N+fracGm_Sr_S &r_N left fracE_Gm_Sm_N+fracr_S right^- &r_N left frac .siMeV .eesiJ/MeV .eesiNm^/kg^ .eeesikg .eesikg + frac.eeesim right^- &r_N .eeesim uuline.eeesim Ausrufbox Neutronensterne haben Radien in der Grössenordnung von km sind also rund -mal kleiner. Die Energie zur Bildung eines Neutronensterns stammt aus der Gravitation. Ausrufbox
Meta Information
Exercise:
DuSieNimmNehmen Sie an die Sonne sei eine homogene Kugel aus Wasserstoff. Auf welchen Radius müsste sie sich zusammenziehen um genüg Energie bereit zu stellen alle Protonen mit den Elektronen zu Neutronen zu verbinden? Pro Neutron müssen dafür EeO aufgewet werden Umkehrung des Betazerfalls des Neutrons.
Solution:
&N approx fracm_Sm_N qquad text Anzahl Protonen/Neutronen/Wasserstoffatome &E_G -fracfracGm^r qquad textgravitative Selbstenergie einer homogenen Kugel &fracGm_S^r_N -fracGm_S^r_S N E_ fracm_Sm_N E_ &fracGm_Sr_N fracE_m_N+fracGm_Sr_S &r_N left fracE_Gm_Sm_N+fracr_S right^- &r_N left frac .siMeV .eesiJ/MeV .eesiNm^/kg^ .eeesikg .eesikg + frac.eeesim right^- &r_N .eeesim uuline.eeesim Ausrufbox Neutronensterne haben Radien in der Grössenordnung von km sind also rund -mal kleiner. Die Energie zur Bildung eines Neutronensterns stammt aus der Gravitation. Ausrufbox
DuSieNimmNehmen Sie an die Sonne sei eine homogene Kugel aus Wasserstoff. Auf welchen Radius müsste sie sich zusammenziehen um genüg Energie bereit zu stellen alle Protonen mit den Elektronen zu Neutronen zu verbinden? Pro Neutron müssen dafür EeO aufgewet werden Umkehrung des Betazerfalls des Neutrons.
Solution:
&N approx fracm_Sm_N qquad text Anzahl Protonen/Neutronen/Wasserstoffatome &E_G -fracfracGm^r qquad textgravitative Selbstenergie einer homogenen Kugel &fracGm_S^r_N -fracGm_S^r_S N E_ fracm_Sm_N E_ &fracGm_Sr_N fracE_m_N+fracGm_Sr_S &r_N left fracE_Gm_Sm_N+fracr_S right^- &r_N left frac .siMeV .eesiJ/MeV .eesiNm^/kg^ .eeesikg .eesikg + frac.eeesim right^- &r_N .eeesim uuline.eeesim Ausrufbox Neutronensterne haben Radien in der Grössenordnung von km sind also rund -mal kleiner. Die Energie zur Bildung eines Neutronensterns stammt aus der Gravitation. Ausrufbox
Contained in these collections:
Asked Quantity:
Radius \(r\)
in
Meter \(\rm m\)
Physical Quantity
grösstmöglicher Abstand Mittelpunkt zu Kreislinie/Kugeloberfläche
Unit
Der Meter ist dadurch definiert, dass der Lichtgeschwindigkeit im Vakuum \(c\) ein fester Wert zugewiesen wurde und die Sekunde (\(\rm s\)) ebenfalls über eine Naturkonstante, die Schwingungsfrequenz definiert ist.
Base?
SI?
Metric?
Coherent?
Imperial?