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Lecture

# Index of refraction, total internal reflection

2 Pages
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Department
Physics
Course Code
PH 122
Professor
Brian Jones

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23 April
Warming Up
Light passes through a 10-μm-wide slit and is viewed on a screen 1 m behind the slit. If
the width of the slit is narrowed, the band of light on the screen will…
Become wider
Blue light of wavelength 450 nm passes through a diffraction grating with a slit spacing
of 0.001 mm and makes a diffraction pattern on the wall. How many bright fringes will
be seen?
dsinθm = mλ
sinθm = 1
.001 x103m
450 x109m
= m = 2.2
5 bright fringes
The Index of Refraction
n = speed of light in a vacuum/speed of light in the material = c/v
v = c/n
Denser material – slower speed
Changing Speed Makes Light Bend
n1sinθ1 = n2sinθ2
If speed changes, angle changes
Sample Problem
A 4.0-m-wide swimming pool is filled to the top. The bottom of the pool becomes
completely shaded in the afternoon when the sun is 20° above the horizon. How deep is
the pool?
n1sinθ1 = n2sinθ2
(1)sin(70°) = (1.33)sinθ2
θ2 = 45°
4 m

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Description
23 April Warming Up Light passes through a 10-μm-wide slit and is viewed on a screen 1 m behind the slit. If the width of the slit is narrowed, the band of light on the screen will… Become wider Blue light of wavelength 450 nm passes through a diffraction grating with a slit spacing of 0.001 mm and makes a diffraction pattern on the wall. How many bright fringes will be seen? dsinθ m mλ sinθ m 1 .001x10 m−3 −9 = m = 2.2 450x10 m 5 bright fringes The Index of Refraction n = speed of light in a vacuum/speed of light in the material = c/v v = c/n Denser material – slower speed Changing Speed Makes Light Bend n1sinθ1= n 2inθ 2 If speed changes, angle changes Sample Pro
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