Are These Geometrical Optics Diagrams Correct?

bap902
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I had to draw these diagrams for an AP Physics summer work assignment. I was just wondering if someone could look them over and let me know if I did them correctly. Thanks!

http://img356.imageshack.us/img356/5520/go1kf2.png"
http://img354.imageshack.us/img354/8011/go2lj2.png"
 
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Looks good mostly.

However, in b, c, h: horizontal rays, after reflection or refraction, should travel through (or directly away from) a point that is a distance "f" from the mirror or lens.

Other than that, it looks good!
 
there's no need to draw so many lines as you have done in the first few diagrams... the last ones (concave, convex mirrors, i guess) are better... just remember that whatever you have, you can always draw a line through the center of curvature, which stays in its course even after reflection, and another through the focus, which becomes parallel to the optic axis after reflection... the image is where they intersect... don't unnecessarily draw more lines... things get cluttered... and some of your rays don't have directional arrows which is suicidal in geometrical optics diagrams... for example, a ray through the center of curvature should have arrows in both directions to indicate that it is retracing its path...
 
In c on the first set, there's a ray that you forgot to trace back. :)

Always put directional arrows, as gc2004 has said. You usually only need two rays, but if you want to check to make sure you've got it right, you can use three. Especially if that's what the textbook said to do. :D

A couple things that bother me, though, are that your image arrow isn't dotted... you should differentiate the object and the image in some way. Plus, my teacher always required me to label S, S', h, and h', if yours doesn't then you don't have to, but it's still a good idea.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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