In figure on the right, a beam of monochromatic light hits passes through three mediums, crossing...

 

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In figure on the right, a beam of monochromatic light hits passes through three mediums, crossing two interfaces as shown below. The indices of refraction or material 1 and 3 are n₁ = 1.33 and n3= 1. The index of refraction of material 2 is unknown. At the first interface, between materials 1 and 2, it hits point A at an angle of 50°relative to the surface, partly reflects, and partly refracts at the angle 92= 290. (a) Label the following angles in the figure and determine their values: Angle of incidence 9₁= I • Reflected angle d'= • Refracted angle ₂= 29º. n₁ = 1.33 50⁰ 7₂ n3 Air 1 A 4 B (b) Plug in the values of n₁ = 1.33, your value of 91, and 92 = 290 into Snell's law to find n₂. Snell's law: nisin (01) = n₂ sin(₂) • At the second interface, between materials 2 and 3, it hits point B and both reflects at angle 92' and refracts into the air at angle 93. (c) Label the following angles in the figure and determine the values of angles 2 and 92' only. Angle of incidence 92= • Reflected angle d' • Refracted angle 03 (d) What are the speeds of light in medium 1 and medium 2? (e) Extra Credit: Given the index of refraction you found in (b), use Snell's law to calculate the refracted angle 93. In figure on the right, a beam of monochromatic light hits passes through three mediums, crossing two interfaces as shown below. The indices of refraction or material 1 and 3 are n₁ = 1.33 and n3= 1. The index of refraction of material 2 is unknown. At the first interface, between materials 1 and 2, it hits point A at an angle of 50°relative to the surface, partly reflects, and partly refracts at the angle 92= 290. (a) Label the following angles in the figure and determine their values: Angle of incidence 9₁= I • Reflected angle d'= • Refracted angle ₂= 29º. n₁ = 1.33 50⁰ 7₂ n3 Air 1 A 4 B (b) Plug in the values of n₁ = 1.33, your value of 91, and 92 = 290 into Snell's law to find n₂. Snell's law: nisin (01) = n₂ sin(₂) • At the second interface, between materials 2 and 3, it hits point B and both reflects at angle 92' and refracts into the air at angle 93. (c) Label the following angles in the figure and determine the values of angles 2 and 92' only. Angle of incidence 92= • Reflected angle d' • Refracted angle 03 (d) What are the speeds of light in medium 1 and medium 2? (e) Extra Credit: Given the index of refraction you found in (b), use Snell's law to calculate the refracted angle 93.

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