Michelson Interferometer
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:
In a Michelson erferometer see figure a laser beam is split up at a semi-transparent mirror i.e. one part of the light is reflected green and the other part transmitted blue. Both parts are reflected on a mirror. The parts of the reflected light transmitted green and reflected blue at the semi-transparent mirror hit an observation screen. center includegraphicswidthtextwidth#image_path:michelson-erferometer# center We ase that the initial setup is such that the light arriving at the centre of the screen erferes constructively. The wavelength is laO HNe. abcliste abc While one of the mirrors is moved away from the centre the erference pattern on the screen goes through NO minima and maxima. Calculate the distance by which the mirror has been moved. abc What happens if you move the detector instead of one of the mirrors? %abc %The pattern on the screen usually consists of a series of circular maxima and minima see photo. Explain this phenomenon. abcliste
Solution:
abcliste abc Moving the mirror by a distance d increases the path of the corresponding wave by d. It follows that d Nlambda Longrightarrow d dF fracNtimes la d approx resultdP- abc Moving the laser increases the paths of both waves so there is no change in the path difference. The pattern on the screen will not change. abcliste
In a Michelson erferometer see figure a laser beam is split up at a semi-transparent mirror i.e. one part of the light is reflected green and the other part transmitted blue. Both parts are reflected on a mirror. The parts of the reflected light transmitted green and reflected blue at the semi-transparent mirror hit an observation screen. center includegraphicswidthtextwidth#image_path:michelson-erferometer# center We ase that the initial setup is such that the light arriving at the centre of the screen erferes constructively. The wavelength is laO HNe. abcliste abc While one of the mirrors is moved away from the centre the erference pattern on the screen goes through NO minima and maxima. Calculate the distance by which the mirror has been moved. abc What happens if you move the detector instead of one of the mirrors? %abc %The pattern on the screen usually consists of a series of circular maxima and minima see photo. Explain this phenomenon. abcliste
Solution:
abcliste abc Moving the mirror by a distance d increases the path of the corresponding wave by d. It follows that d Nlambda Longrightarrow d dF fracNtimes la d approx resultdP- abc Moving the laser increases the paths of both waves so there is no change in the path difference. The pattern on the screen will not change. abcliste
Meta Information
Exercise:
In a Michelson erferometer see figure a laser beam is split up at a semi-transparent mirror i.e. one part of the light is reflected green and the other part transmitted blue. Both parts are reflected on a mirror. The parts of the reflected light transmitted green and reflected blue at the semi-transparent mirror hit an observation screen. center includegraphicswidthtextwidth#image_path:michelson-erferometer# center We ase that the initial setup is such that the light arriving at the centre of the screen erferes constructively. The wavelength is laO HNe. abcliste abc While one of the mirrors is moved away from the centre the erference pattern on the screen goes through NO minima and maxima. Calculate the distance by which the mirror has been moved. abc What happens if you move the detector instead of one of the mirrors? %abc %The pattern on the screen usually consists of a series of circular maxima and minima see photo. Explain this phenomenon. abcliste
Solution:
abcliste abc Moving the mirror by a distance d increases the path of the corresponding wave by d. It follows that d Nlambda Longrightarrow d dF fracNtimes la d approx resultdP- abc Moving the laser increases the paths of both waves so there is no change in the path difference. The pattern on the screen will not change. abcliste
In a Michelson erferometer see figure a laser beam is split up at a semi-transparent mirror i.e. one part of the light is reflected green and the other part transmitted blue. Both parts are reflected on a mirror. The parts of the reflected light transmitted green and reflected blue at the semi-transparent mirror hit an observation screen. center includegraphicswidthtextwidth#image_path:michelson-erferometer# center We ase that the initial setup is such that the light arriving at the centre of the screen erferes constructively. The wavelength is laO HNe. abcliste abc While one of the mirrors is moved away from the centre the erference pattern on the screen goes through NO minima and maxima. Calculate the distance by which the mirror has been moved. abc What happens if you move the detector instead of one of the mirrors? %abc %The pattern on the screen usually consists of a series of circular maxima and minima see photo. Explain this phenomenon. abcliste
Solution:
abcliste abc Moving the mirror by a distance d increases the path of the corresponding wave by d. It follows that d Nlambda Longrightarrow d dF fracNtimes la d approx resultdP- abc Moving the laser increases the paths of both waves so there is no change in the path difference. The pattern on the screen will not change. abcliste
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