The index ofrefraction for a certain type of glass is 1.640 for blue light and1.

Question

The index ofrefraction for a certain type of glass is 1.640 for blue light and1.605 for red light. When a beam of white light (one that containsall colors) enters a plate of this glass at an incidence angle of40°, what is the angle in the glass between blue and red partsof the refracted beams? Choices: 1)0.53° 2)23.075° 3)0.009° 4)46.692° The index ofrefraction for a certain type of glass is 1.640 for blue light and1.605 for red light. When a beam of white light (one that containsall colors) enters a plate of this glass at an incidence angle of40°, what is the angle in the glass between blue and red partsof the refracted beams? Choices: 1)0.53° 2)23.075° 3)0.009° 4)46.692°

Explanation / Answer

Snell's Law gives you the angle of refraction for each color.Their difference is the answer. n1sin(1) =n2sin(2) Where n1 ˜ 1 for air, n2 isthe index of refraction for the color and 1 is theangle of incidence. 2 =sin-1(n1sin(1)/n2) blue = sin-1((1)sin(40o)/1.640) =23.0755 red  =sin-1((1)sin(40o)/1.605) = 23.6089 = red - blue =0.53o

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