1) The index of refraction of a certain liquid is 2.4. What is the critical angl

Question

1) The index of refraction of a certain liquid is 2.4. What is the critical angle for a light ray traveling in this liquid toward a flat layer of air above it?

2) In the figure, light initially in material 1 refracts into material 2, crosses that material, and is then incident at the critical angle on the interface between materials 2 and 3. The indices of refraction are n1 = 1.58, n2 = 1.36, n3 = 1.18. (a) What is angle ?? (b) If ? is increased, is there refraction of light into material 3?

1) The index of refraction of a certain liquid is 2.4. What is the critical angle for a light ray traveling in this liquid toward a flat layer of air above it? 2) In the figure, light initially in material 1 refracts into material 2, crosses that material, and is then incident at the critical angle on the interface between materials 2 and 3. The indices of refraction are n1 = 1.58, n2 = 1.36, n3 = 1.18. (a) What is angle ?? (b) If ? is increased, is there refraction of light into material 3?

Explanation / Answer

1)

critcal angle is

? = sin-1 (1/n) =sin-1 (1/2.4) = 24.62 degrees

2)

critical angle = sin-1 ( 1.18/ 1.36)

=60.19o

therefore , angle DCM and angle MCO = 60.19

using trignometery, angle NOC = 29.81

now using snells law at point O

n1 sin? = n2 sin(29.81)

sin? = n2/n1 sin(29.81)

? = 25.33 o

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