Problem 2341 As shown in Figure 1 a layer of water covers a

Problem 23.41

As shown in (Figure 1) , a layer of water covers a slab of material X in a beaker. A ray of light traveling upward follows the path indicated. Assume that ?1 = 48 ? and ?2 = 67 ?.

Problem 23.41 Part A As shown in (Figure 1), a layer of water covers a slab of material X in a beaker. A ray of light traveling upward follows the path indicated. Assume that 1-48 and 2-67 Using the information on the figure, find the index of refraction of material X Express your answer using three significant figures Submit My AnswersGive Up Part B Figure 1 of 1 Using the information on the figure, find the angle the light makes with the normal in the air Express your answer in degrees to two significant figures. ir Water Submit My AnswersGive Up Provide FeedbacK Continue

Solution

for X to water,

incident angle, i = 90 - @2 = 90 - 67 = 23 deg

refraction angle = 48 deg

Applying snell\'s law,

ni sini = nr sinr

nX sin23 = 1.33 * sin48

nX = 2.53

B) for water to air,

i = @1 = 48 deg

ni sini = nr sinr

1.33 * sin48 = 1 * sinr

r = 81.26 deg