Dispersion in a window pane . In Figure ( a ) below , a beam of white light is i

Question

Dispersion in a window pane. In Figure (a) below , a beam of white light is incident at angle ?1 = 83o on a common window pane (shown in cross section). For the pane's type of glass, the index of refraction for visible light ranges from 1.529 at the blue end of the spectrum to 1.515 at the red end. The two sides of the pane are parallel. What is the angular spread of the colors in the beam (a) when the light enters the pane and (b) when it emerges from the opposite side? (Hint: When you look at an object through a window pane, are the colors in the light from the object dispersed as shown in, say, Figure (b)?) I know part b is 0 degrees, but I cannot find part a. Please help

Dispersion in a window pane. In Figure (a) below , a beam of white light is incident at angle ?1 = 83o on a common window pane (shown in cross section). For the pane's type of glass, the index of refraction for visible light ranges from 1.529 at the blue end of the spectrum to 1.515 at the red end. The two sides of the pane are parallel. What is the angular spread of the colors in the beam (a) when the light enters the pane and (b) when it emerges from the opposite side? (Hint: When you look at an object through a window pane, are the colors in the light from the object dispersed as shown in, say, Figure (b)?) I know part b is 0 degrees, but I cannot find part a.

Explanation / Answer

n1*sini1 = n2*sinr1

for blue, 1*sin83 = 1.529*sinr1

r1 = 40.48 degree

for red,

sinr2 = sin83/1.515

r2 = 40.93 degree

angular spread = 0.45 degree

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