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Doppler Shift

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That being said... How many "default points" should you associate with an exercise upon creation?
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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

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Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/doppler-shift/

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Exercise:
A loudspeaker emits sound waves with a frequency fO. The observer hears the sound at fdO. abcliste abc How fast is the loudspeaker if the observer is at rest? abc How fast is the observer if the loudspeark is at rest? abc Calculate the velocity if the loudspeaker and the observer both move at the same speed. abcliste

Solution:
The received frequency is higher than the emitted frequency so the loudspeaker and/or the observer move towards each other. abcliste abc The frequency heard by the observer is f' ffracv_Sv_S-v_E Solving for the velocity v_E of the loudspeaker leads to v_E vaF vstimesfracfd-ffd va approx resultvaP abc The frequency heard by the observer is f' ffracv_S+v_Rv_S Solving for the velocity v_R of the observer leads to v_R vbF vstimesfracfd-ff vb approx resultvbP abc The frequency heard by the observer is f' ffracv_S+vv_S-v Solving for the velocity v of both the loudspeaker and the observer leads to v vcF vstimesfracfd-ffd+f vc approx resultvcP abcliste

Meta Information

\(\LaTeX\)-Code

Contained in these collections:

Acoustics by by

8 | 19
Acoustic Doppler Effect by by

5 | 9
Acoustics (BC) by by

8 | 16

Attributes & Decorations

Branches	Acoustics, Doppler Effect
Tags	moving emitter, moving observer, sound wave
Content image
Difficulty	(2, default)
Points	6 (default)
Language	(English)
Type	Calculative / Quantity
Creator	by
Decoration
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