5. A tank holds a layer of oil, of thickness To = 2.83 m, that floats on a layer of syrup of thickness Ts = 0.835 m, as shown in the figure. Both liquids are clear and do not mix together. A light ray, originating at the bottom of the tank at point P, crosses the oil-syrup interface at a point 0.900 m from the axis. The ray continues and arrives at the oil-air interface, 2.00 m to the right of P and at the critical angle. (a) What is the index of refraction of the oil? (b) What is the index of refraction for the syrup? %3D air 2.00 m %3D 3D oil To 0.90 m syrup T

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5. A tank holds a layer of oil, of thickness To = 2.83 m, that
air
2.00 m
floats on a layer of syrup of thickness Ts = 0.835 m, as shown
%3D
in the figure. Both liquids are clear and do not mix together. A
light ray, originating at the bottom of the tank at point P,
crosses the oil-syrup interface at a point 0.900 m from the
axis. The ray continues and arrives at the oil-air interface, 2.00
m to the right of P and at the critical angle. (a) What is the
index of refraction of the oil? (b) What is the index of
refraction for the syrup?
oil
T.
0.90 m
syrup
Transcribed Image Text:5. A tank holds a layer of oil, of thickness To = 2.83 m, that air 2.00 m floats on a layer of syrup of thickness Ts = 0.835 m, as shown %3D in the figure. Both liquids are clear and do not mix together. A light ray, originating at the bottom of the tank at point P, crosses the oil-syrup interface at a point 0.900 m from the axis. The ray continues and arrives at the oil-air interface, 2.00 m to the right of P and at the critical angle. (a) What is the index of refraction of the oil? (b) What is the index of refraction for the syrup? oil T. 0.90 m syrup
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