The index of refraction for silicate flint glass is 1.66 for violet light that h
ID: 1503075 • Letter: T
Question
The index of refraction for silicate flint glass is 1.66 for violet light that has a wavelength in air equal to 400 nm and 1.61 for red that has a wavelength in air equal to 700 nm. A ray of 700-nm-wavelength red light and a ray of 400-nm-wavelength violet light both have angles of refraction equal to 30° upon entering the glass from air.
The index of refraction for silicate flint glass is 1.66 for violet light that has a wavelength in air equal to 400 nm and 1.61 for red that has a wavelength in air equal to 700 nm. A ray of 700-nm-wavelength red light and a ray of 400-nm-wavelength violet light both have angles of refraction equal to 30° upon entering the glass from air. (a) Which is greater, the angle of incidence of the ray of red light or the angle of incidence of the ray of violet light? Explain your answer. (Do this on paper. Your instructor may ask you to turn in your work.) (b) What is the difference between the angles of incidence of the two rays? 0Explanation / Answer
for red light
nisin(theta1r) = n2sin(theta2)
=> 1*sin(theta1r) = 1.61*sin(30 degree)
=> theta1r = 53.61 degree
for voilet light
n1sin(theta1v) = n2sin(theta2)
=> 1*sin(theta1v) = 1.66*sin(30degree)
=> theta1v = 56.098 degree
a) angle of incidence for voilet is greater
b) theta1v - theta1r = 56.098 - 53.61 = 2.488 degree
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