A glass is half-full of water, with a layer ofvegetable oil ( n = 1.47) floating

Question

A glass is half-full of water, with a layer ofvegetable oil (n = 1.47) floating on top. A ray of lighttraveling downward through the oil is incident on the water at anangle of 41.8°. Determine the criticalangle for the oil-water interface
c = Enter anumber. 1°

Decide whether the ray will penetrate into the water.
2 Theray of light will enter the water. Theray of light will not enter thewater.    A glass is half-full of water, with a layer ofvegetable oil (n = 1.47) floating on top. A ray of lighttraveling downward through the oil is incident on the water at anangle of 41.8°. Determine the criticalangle for the oil-water interface
c = Enter anumber. 1°

Decide whether the ray will penetrate into the water.
2 Theray of light will enter the water. Theray of light will not enter thewater.    A glass is half-full of water, with a layer ofvegetable oil (n = 1.47) floating on top. A ray of lighttraveling downward through the oil is incident on the water at anangle of 41.8°. Determine the criticalangle for the oil-water interface
c = Enter anumber. 1°

Decide whether the ray will penetrate into the water.
2 Theray of light will enter the water. Theray of light will not enter thewater.    Enter anumber. 2 Theray of light will enter the water. Theray of light will not enter thewater.    2 Theray of light will enter the water. Theray of light will not enter thewater.    2

Explanation / Answer

     Refractive index of oil ( n ) = 1.47      Angle of incidence ( i ) =41.8o      Critical angle for oil-water interface,c = Sin-1 ( 1/n)                                                                = Sin-1 ( 1/1.47 )                                                                = 42.86o       As the angle of incidence (i) isless than the critical angle (c),       total internal reflection won't takeplace. So, the ray will       penetrate into the water.       Ans: The ray of light will enter thewater

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