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Mathematics 10 Online
OpenStudy (anonymous):

can someone please help me... Leo Moser studied the effect that two face-to-face panes of glass have on light reflected through the panes. If a ray is not reflected, it has just one path through the glass. If it has one reflection, it can be reflected two ways. For two reflections, it can be reflected three ways. Make a conjecture about the number of paths for n reflections.

OpenStudy (ranga):

For n reflections (n+1) ways? Not sure. Still trying to get a visual on the problem :)

OpenStudy (agent0smith):

Yeah that doesn't make a lot of sense to me... if a light ray is reflected once, and the panes are the same, it'll continue to reflect between them (total internal reflection). The light either passes through the glass, or is reflected (and reflects off the other pane)

OpenStudy (agent0smith):

But what @ranga said seems right based on the supposed info.

OpenStudy (agent0smith):

total internal reflection: http://upload.wikimedia.org/wikipedia/commons/f/f4/TIR_in_PMMA.jpg

OpenStudy (anonymous):

yeah dont understand

OpenStudy (anonymous):

these are my answers I have to chose from 1, 2, 3, 5, 8,.... B) 1, 2, 3, 5, 7,.... C) 1, 2, 3, 4, 7,.... D) 1, 2, 3, 4, 5,.... E) 1, 2, 3, 6, 12,....

OpenStudy (anonymous):

i dont understand this problem

OpenStudy (agent0smith):

If a ray is not reflected, it has just one path through the glass. If it has one reflection, it can be reflected two ways. For two reflections, it can be reflected three ways. this looks like it'd be 1, 2, 3, 4 i guess but it's hard to tell with those answers :/

OpenStudy (agent0smith):

D) 1, 2, 3, 4, 5,.... i guess. Since you're just making a conjecture based on available info.

OpenStudy (anonymous):

thats what I thought also but was not sure

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