Light containing wavelengths of 400 nm, 500 nm, and 650 nm is incident from air

ID: 2305437 • Letter: L

Question

Light containing wavelengths of 400 nm, 500 nm, and 650 nm is incident from air on a block of crown glass at an angle of 29.5°.

Figure 22.14 (a) Are all colors refracted alike, or is one color bent more than the others? CHOOSE ONE OF THE FOUR FROM THE ANSWERS BELOW

1. - 400 nm light is bent the most

2. - 500 nm light is bent the most

3. - 650 nm light is bent the most

4. - All colors are refracted alike

(b) Calculate the angle of refraction in each case to verify your answer.

?2 = ° _(400 nm)

?2 = ° _(500 nm)

?2 = ° _(650 nm)

1.54 Crown glass 1.52 1.50 Acrylic 1.48 Fused auartz 1.46 400 500 600 700 ?, nm

(a) 400nm wavelength light will bend highest... Because shorter wavelength light moves slower and bend the most.

(b) angle of refraction n = sin i / sin r

Sin r = sin i / n

For n = 400 nm

Sin r = sin 29.5°/ 400 nm

Sin r = 0.492 / 400

Sin r = 0.00123

r = 0.70°

For n = 500 nm

Sin r = 0.492 / 500

Sin r = 0.00098

r = 0.056°

For n = 650 nm

Sin r = 0.492 / 650

Sin r = 0.00075

r = 0.042°

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