Chapter 33: Q57P (page 1005)
A pointsource of light isbelow the surface of a body of water. Find the diameter of the circle at the surface through which light emerges from the water.
Chapter 33: Q57P (page 1005)
A pointsource of light isbelow the surface of a body of water. Find the diameter of the circle at the surface through which light emerges from the water.
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Get started for freeFigure 33-32 shows four long horizontal layers A–D of different materials, with air above and below them. The index of refraction of each material is given. Rays of light are sent into the left end of each layer as shown. In which layer is there the possibility of totally trapping the light in that layer so that, after many reflections, all the light reaches the right end of the layer?
The leftmost block in Fig. 33-33 depicts total internal reflection for light inside a material with an index of refractionwhen air is outside the material. A light ray reaching point A from anywhere within the shaded region at the left (such as the ray shown) fully reflects at that point and ends up in the shaded region at the right. The other blocks show similar situations for two other materials. Rank the indexes of refraction of the three materials, greatest first.
The electric component of a beam of polarized light is
.
(a) Write an expression for the magnetic field component of the wave, including a value for .
What are the (b) wavelength, (c) period, and (d) intensity of this light?
(e) Parallel to which axis does the magnetic field oscillate?
(f) In which region of the electromagnetic spectrum is this wave?
At a beach, the light is generally partially polarized due to reflections off sand and water. At a particular beach on a particular day near sundown, the horizontal component of the electric field vector is times the vertical component. A standing sunbather puts on polarizing sunglasses; the glasses eliminate the horizontal field component.
(a) What fraction of the light intensity received before the glasses were put on now reaches the sunbather’s eyes?
(b) The sunbather, still wearing the glasses, lies on his side. What fraction of the light intensity received before the glasses were put on now reaches his eyes?
In the figure, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles ofwith the direction of theyaxis. What percentage of the initial intensity is transmitted by the system? (Hint: Be careful with the angles.)
Figure:
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