(II) Figure 32–57 shows a liquid-detecting prism device that might be used inside a washing machine or other liquid-containing appliance. If no liquid covers the prism’s hypotenuse, total internal reflection of the beam from the light source produces a large signal in the light sensor. If liquid covers the hypotenuse, some light escapes from the prism into the liquid and the light sensor’s signal decreases. Thus a large signal from the light sensor indicates the absence of liquid in the reservoir. If this device is designed to detect the presence of water, determine the allowable range for the prism’s index of refraction n. Will the device work properly if the prism is constructed from (inexpensive) lucite? For lucite, n = 1.5.
(II) Figure 32–57 shows a liquid-detecting prism device that might be used inside a washing machine or other liquid-containing appliance. If no liquid covers the prism’s hypotenuse, total internal reflection of the beam from the light source produces a large signal in the light sensor. If liquid covers the hypotenuse, some light escapes from the prism into the liquid and the light sensor’s signal decreases. Thus a large signal from the light sensor indicates the absence of liquid in the reservoir. If this device is designed to detect the presence of water, determine the allowable range for the prism’s index of refraction n. Will the device work properly if the prism is constructed from (inexpensive) lucite? For lucite, n = 1.5.
(II) Figure 32–57 shows a liquid-detecting prism device that might be used inside a washing machine or other liquid-containing appliance. If no liquid covers the prism’s hypotenuse, total internal reflection of the beam from the light source produces a large signal in the light sensor. If liquid covers the hypotenuse, some light escapes from the prism into the liquid and the light sensor’s signal decreases. Thus a large signal from the light sensor indicates the absence of liquid in the reservoir. If this device is designed to detect the presence of water, determine the allowable range for the prism’s index of refraction n. Will the device work properly if the prism is constructed from (inexpensive) lucite? For lucite, n = 1.5.
109 In Fig. 34-54, a fish watcher at
point P watches a fish through a
glass wall of a fish tank. The watcher
is level with the fish; the index of re-
fraction of the glass is 8/5, and that Watcher
of the water is 4/3. The distances are
di = 8.0 cm, dz = 3.0 cm, and dz =
6.8 cm. (a) To the fish, how far away
does the watcher appear to be?
(Hint: The watcher is the object.
Light from that object passes
through the wall's outside surface, which acts as a refracting sur-
face. Find the image produced by that surface. Then treat that im-
age as an object whose light passes through the wall's inside sur-
face, which acts as another refracting surface.) (b) To the watcher,
how far away does the fish appear to be?
de
D
Wall
Figure 34-54
Problem 109.
(b)
When light is incident on an interface between two materials with different index of
refraction, the angle of the refracted ray depends on the wavelength. However, the angle
of the reflected ray does not depend on the wavelength at all. Explain why this happens.
(b).
A ray of light passes from glass to water. The angle of incidence in the glass is 35°, take the refractive indices
of glass and water to be 1.52 and1.33, respectively.
(i).
What is the angle of refraction in the water?
(ii).
At what angle will total internal reflection occur between the glass-water interface?
Chapter 32 Solutions
Physics for Scientists and Engineers with Modern Physics
University Physics with Modern Physics (14th Edition)
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