Show all work. Include units and the appropriate number of sig figs. 6. A light

Question

Show all work. Include units and the appropriate number of sig figs. 6. A light ray passes through air and into a thin layer of benzene (n = 1.50) that is floating on a volume of water (n 1.33). The ray enters the benzene oriented 7 from the vertical 01 Determine the values of angles 0, and 0,10) a. b. What happens to the ray as it moves from the air into the benzene? (Check all that apply) O v increases O f decreases increases decreases stays the same v decreases p stays the same f increases C f stays the same c. What happens to the light ray as it moves from the benzene into the water? (Check all that apply.) (3) increases D 2 decreases O f decreases O f increases a f stays the same increases D v decreases D v stays the same stays the same Page 6 PHYC 252- Spring 2018

Explanation / Answer

using snell's lawfrom air to benzene

n1sintheta1 = n2sintheta2

here n1 = refraction index of air = 1

theta1 = 47 degree

n2 = 1.5

theta2 = ??

theta2 = sin^-1(1*sin47/1.5)

theta2 = 29.18 degree

now ray passes through benzene to water

n2*sintheta2 = n3 *sintheta3

n3 = 1.33

theta3 = sin^-1(n2*sin29.18/n3)

theta3 = 33.36 degree

part 2 )

velocity of light in any index = c/n

lambda' = lambda/n

lambda decrease  

velocity decrease

frequency does not chage

part 3 )

lambda will increase

velocity increase

frequency does not change

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