An cylindrical opaque drinking glass has a diameter 4 cm and height h, as shown in the figure. An observer's eye is placed as shown (the observer is just barely looking over the rim of the glass). When empty, the observer can just barely see the edge of the bottom of the glass. When filled to the brim with a transparent liquid, the observer can just barely see the center of the bottom of the glass. The liquid in the drinking glass has an index of refraction of 1.15. Calculate the angle 0₁. Answer in units of degrees. Calculate the height h of the glass. Answer in units of cm. eye

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ISBN:9781938168000
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Chapter25: Geometric Optics
Section: Chapter Questions
Problem 26PE: A ray of light, emitted beneath the surface of an unknown liquid with air above it, undergoes total...
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An cylindrical opaque drinking glass has a
diameter 4 cm and height h, as shown in the
figure. An observer's eye is placed as shown
(the observer is just barely looking over the
rim of the glass). When empty, the observer
can just barely see the edge of the bottom
of the glass. When filled to the brim with
a transparent liquid, the observer can just
barely see the center of the bottom of the
glass.
The liquid in the drinking glass has an index
of refraction of 1.15.
0₁
Calculate the angle 0,.
Answer in units of degrees.
Calculate the height h of the glass.
Answer in units of cm.
eye
Transcribed Image Text:An cylindrical opaque drinking glass has a diameter 4 cm and height h, as shown in the figure. An observer's eye is placed as shown (the observer is just barely looking over the rim of the glass). When empty, the observer can just barely see the edge of the bottom of the glass. When filled to the brim with a transparent liquid, the observer can just barely see the center of the bottom of the glass. The liquid in the drinking glass has an index of refraction of 1.15. 0₁ Calculate the angle 0,. Answer in units of degrees. Calculate the height h of the glass. Answer in units of cm. eye
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