You add sugar to the solution, increasing its index of refraction, until the light ray emerges into the sugar-water at point A. The ray that enters at point A travels through the sugar-water, and is incident on the side of the tank at point B. What is the new index of refraction in the sugar water if the ray emerges into the air (at B) at an angle of 27° as shown? 35° glass air A B 27° sugar water You set a 35° right prism made of a lens-quality glass with index of refraction, nglass = 1.66, on top of a thin-walled tank that you filled with solution of sugar and water. (15 points) A ray of blue light with wavelength of 457 nm enters the prism from air and travels through the glass to point A as shown in the figure. Note: Ignore the "thin-walls" of the tank. What is the maximum value of the sugar-water's index of refraction if no light ray refracts into the glass at point A? A air 35° glass sugar water

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You add sugar to the solution, increasing
its index of refraction, until the light ray
emerges into the sugar-water at point A.
The ray that enters at point A travels
through the sugar-water, and is incident
on the side of the tank at point B.
What is the new index of refraction in the
sugar water if the ray emerges into the air
(at B) at an angle of 27° as shown?
35°
glass
air
A
B
27°
sugar water
Transcribed Image Text:You add sugar to the solution, increasing its index of refraction, until the light ray emerges into the sugar-water at point A. The ray that enters at point A travels through the sugar-water, and is incident on the side of the tank at point B. What is the new index of refraction in the sugar water if the ray emerges into the air (at B) at an angle of 27° as shown? 35° glass air A B 27° sugar water
You set a 35° right prism made of a lens-quality
glass with index of refraction, nglass = 1.66, on top
of a thin-walled tank that you filled with solution
of sugar and water. (15 points)
A ray of blue light with wavelength of 457 nm
enters the prism from air and travels through the
glass to point A as shown in the figure.
Note: Ignore the "thin-walls" of the tank.
What is the maximum value of the sugar-water's
index of refraction if no light ray refracts into the
glass at point A?
A
air
35°
glass
sugar water
Transcribed Image Text:You set a 35° right prism made of a lens-quality glass with index of refraction, nglass = 1.66, on top of a thin-walled tank that you filled with solution of sugar and water. (15 points) A ray of blue light with wavelength of 457 nm enters the prism from air and travels through the glass to point A as shown in the figure. Note: Ignore the "thin-walls" of the tank. What is the maximum value of the sugar-water's index of refraction if no light ray refracts into the glass at point A? A air 35° glass sugar water
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