A Tank Holds a Layer of Oil,of Thickness T_o =

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