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Mentalepsy: I asked my high school physics teacher this question, and he didn't know the answer.
If you were standing inside a hollow sphere with a mirrored internal surface, and if you had a light source, what would you see on the walls?

It is a question that is hard to answer because there are several plausible answers.
Much depends on the location of the light source. Let's say it's dead center in the sphere. Then, in an ideal setting, the beam will hit the exact orthogonal and just be reflected back to the center - and further on to the opposite side. In this case you would probably only see two "dots" opposite eachother in the sphere.
If you move the light source off center and off symmetry, any variety of paths is possible. You can split them into two groups though; closed and open paths. A closed path will eventually repeat itself, leading to you seeing any number of illuminated spots like in the first example. An open path will just continue bouncing ad infinitum, illuminating the entire sphere.
If you tried this in practice though, due to everything not being ideal, you'd probably always end up just illuminating the whole sphere, possibly turning yourself blind in the process.
Also, the illumation effect would dissipate over time as more and more energy escape the sphere - no material is in practice able to contain 100% of this energy. If such a material existed - what would happen is another question entirely. You'd probably build up an energy singularity and rip the universe apart, or something.
Now take that answer back to your physics teacher. :D
Post edited July 20, 2009 by stonebro
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stonebro: Now take that answer back to your physics teacher. :D

I would, but I haven't seen him for ten years :p
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stonebro: Now take that answer back to your physics teacher. :D
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Mentalepsy: I would, but I haven't seen him for ten years :p

Good time for a reunion. He probably won't think you're very much crazy at all.
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stonebro: (Long convoluted explanation)

You're forgetting that the location of your viewpoint matters just as much as the location of the light source.
Conditions:
Angle of incidence (defined by the locatio of the light source)
Position of mirrors (e.g., focal points)
Size or mirros
Angle of demention
Viewpoint
If we were to assume that both were the same size and met each other at the concave's focal point:
(----(
Angle i= Angle r
thus several light rays would stray, but the centre one would continue
but as stone bro said, the energy would dissipate
As far as I'm concenred, we've ignored the factors of absorption.
Practically, the process would NOT be infinite
I'm no expert in optics, but as far as physics goes, there it is!
Post edited July 25, 2009 by prakaa