A thin beam of white light is directed at a flat sheet of silicate flint glass at an angle of 20° to the surface of the sheet. Due to dispersion in the glass, the beam is spread out in a spectrum as shown in the figure. The refractive index of silicate flint glass versus wavelength is graphed in figure to the right. (a) The rays (A and B) shown in the figure correspond to the extreme wavelengths. Which corresponds to red and which to violet? Explain your reasoning. (b) For what thickness of the glass sheet will the spectrum be 1.0 mm wide, as shown (see Problem 7)? Hint: you must first solve Problem 7 first before doing Problem 8). Answer: 93.5 mm

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Chapter1: Units, Trigonometry. And Vectors
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A thin beam of white light is directed at a flat sheet of silicate flint glass at an angle of 20° to the surface of the sheet. Due to dispersion in the glass, the beam is spread out in a spectrum as shown in the figure. The refractive index of silicate flint glass versus wavelength is graphed in figure to the right. (a) The rays (A and B) shown in the figure correspond to the extreme wavelengths. Which corresponds to red and which to violet? Explain your reasoning. (b) For what thickness of the glass sheet will the spectrum be 1.0 mm wide, as shown (see Problem 7)? Hint: you must first solve Problem 7 first before doing Problem 8). Answer: 93.5 mm

Index of refraction (n)
1.7
20.09
Silicate flint glass
Silicate flint
glass
1.6
Borate flint glass
Vacuum
Vacuum
Quartz
Silicate crown glass
1.5
d
Fused quartz
Fluorite
A
1.0 mm
1.4
400
500
600
700
Wavelength in vacuum (nm)
Transcribed Image Text:Index of refraction (n) 1.7 20.09 Silicate flint glass Silicate flint glass 1.6 Borate flint glass Vacuum Vacuum Quartz Silicate crown glass 1.5 d Fused quartz Fluorite A 1.0 mm 1.4 400 500 600 700 Wavelength in vacuum (nm)
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