A tank holds a layer of oil, of thickness $T _ { O } = 1.43 \mathrm {~m}$, that floats on a layer of syrup of thickness $T _ { \mathrm { S } } =$ $0.640 \mathrm {~m}$, 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 oil?

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

Question

A tank holds a layer of oil, of thickness $T _ { O } = 1.43 \mathrm {~m}$, that floats on a layer of syrup of thickness $T _ { \mathrm { S } } =$ $0.640 \mathrm {~m}$, 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 oil?

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

Quizplus · Accepted Answer

The Answer of A tank holds a layer of oil, of thickness $T _ { O } = 1.43 \mathrm {~m}$, that floats on a layer of syrup of thickness $T _ { \mathrm { S } } =$ $0.640 \mathrm {~m}$, 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 oil?

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

A Tank Holds a Layer of Oil, of Thickness TO=1.43 mT _ { O } = 1.43 \mathrm {~m}TO​=1.43 m

A Tank Holds a Layer of Oil, of Thickness $T _ { O } = 1.43 \mathrm {~m}$