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Mobile App Chapter 5: Q45P (page 1107)
You sight along the rim of a glass with vertical sides so that the top rim is lined up with the opposite edge of the bottom (Fig. P33.45a). The glass is =thin-walled, hollow cylinder high. The diameter of the top and bottom of the glass is While you keep your eye in the same position, a friend fills the glass with a transparent liquid, and you then see a dime that is lying at the center of the bottom of the glass (Fig. P33.45b). What is the index of refraction of the liquid?
Short Answer
the index of refraction of liquid will be 1.84
Step by step solution
About Index of refraction
The index of refraction, n, is the ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c':One consequence of this difference in speed is that when light goes from one medium to another at an angle, the propagation vector in the new medium has a different angle with respect to the normal.
Determine the index of refraction for liquid
Before pouring the liquid into the glass we have the angle of ray as shoWn below:\ 
For the second part where glass is filled with the liquid, we have the 05 :
Now apply the Snell's Law for the above case- Assume we have the index of refraction of liquid equal to n- We know that
index of refraction of air is equal to 1-
Hence, the index of refraction of liquid will be 1.84-
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