A Tank Holds a Layer of Oil, of Thickness $T _ { \mathrm { O } } = 1.65 \mathrm {~m}$

question 167

Multiple Choice

A tank holds a layer of oil, of thickness $T _ { \mathrm { O } } = 1.65 \mathrm {~m}$ , that floats on a layer of syrup of thickness $T _ { \mathrm { S } } =$ $0.830 \mathrm {~m}$ , 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 $0.900 \mathrm {~m}$ from the axis. The ray continues and arrives at the oil-air interface, $2.00 \mathrm {~m}$ to the right of $P$ and at the critical angle. What is the index of refraction of the syrup?

• A) \(1.54\)
• B) \(1.94\)
• C) \(1.25\)
• D) \(1.75\)
• E) \(1.36\)

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