What is the maximum possible index of refraction in the sugar-water if the incident beam undergoes total internal reflection at point A?

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5.
You placed a 30° right prism made of flint glass with
index of refraction, nglass = 1.57, on top of a tank filled
with a sugar-water solution. Then you shined a beam
of green light with a wavelength of 586 nm straight
through the top face of the prism as shown.
The beam passes through the prism and is incident
on the boundary between the glass and sugar-water
solution at point A. Where it goes after that depends
on the index of refraction of the sugar-water solution,
which you can change...
You can ignore the "thin walls" of the tank.
A
sugar water
30°
glass
air
Transcribed Image Text:5. You placed a 30° right prism made of flint glass with index of refraction, nglass = 1.57, on top of a tank filled with a sugar-water solution. Then you shined a beam of green light with a wavelength of 586 nm straight through the top face of the prism as shown. The beam passes through the prism and is incident on the boundary between the glass and sugar-water solution at point A. Where it goes after that depends on the index of refraction of the sugar-water solution, which you can change... You can ignore the "thin walls" of the tank. A sugar water 30° glass air
(b)
What is the maximum possible index of refraction in the sugar-water if the incident beam
undergoes total internal reflection at point A?
Transcribed Image Text:(b) What is the maximum possible index of refraction in the sugar-water if the incident beam undergoes total internal reflection at point A?
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