A Tank Holds a Layer of Oil, of Thickness T_o

question 85

Multiple Choice

A tank holds a layer of oil, of thickness T_o = 1.43 m, that floats on a layer of syrup of thickness T_s = 0.640 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. What is the index of refraction of the oil?

• A) 1.64
• B) 1.62
• C) 1.60
• D) 1.66
• E) 1.68

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