Problem: A tank holds a layer of oil, 1.65 m thick, which floats on a layer of syrup that is 0.83 m thick as shown in the figure. Both liquids are clear and do not intermix. A ray, which originates at the bottom of the tank on a vertical axis, crosses the oil-syrup interface at a point 0.90 m from the axis. The ray continues and arrives at the oil-air interface, 2.00 m from the axis and at the critical angle. Find the index of refraction of the syrup.

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Problem Details

A tank holds a layer of oil, 1.65 m thick, which floats on a layer of syrup that is 0.83 m thick as shown in the figure. Both liquids are clear and do not intermix. A ray, which originates at the bottom of the tank on a vertical axis, crosses the oil-syrup interface at a point 0.90 m from the axis. The ray continues and arrives at the oil-air interface, 2.00 m from the axis and at the critical angle. Find the index of refraction of the syrup.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Refraction Of Light concept. You can view video lessons to learn Refraction Of Light. Or if you need more Refraction Of Light practice, you can also practice Refraction Of Light practice problems.

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What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Chen's class at USF.