*16 Babinet's principle. Amonochromatic beam of paral-lel light is incident on a "colli-mating" hole of diameter x> A.Point P lies in the geometricalshadow region on a distantscreen (Fig. 36-39a). Two dif-fracting objects, shown in Fig.36-39b, are placed in turn overthe collimating hole. Object A isan opaque circle with a hole init, and B is the "photographicnegative" of A. Using superpo-sition concepts, show that theintensity at P is identical for thetwo diffracting objects A and B.Screen(a)(6)

Answered: Image /qna-images/answer/c6ffe2e4-e669-45ff-9460-60425af80f69.jpg

Answered: *16 Babinet's principle. A…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter27: Wave Optics

Section: Chapter Questions

Problem 78PE: A film of oil on water will appear dark when it is very thin, because the path length difference...

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If b is Brewster's angle for light reflected from the top of an interface between two substances, and b is Brewster's angle for light reflected from below, prove that b+b=90.0.
A severely myopic patient has a far point of 5.00 cm. By how many diopters should the power of his eye be reduced in laser vision correction to obtain normal distant vision for him?
In Section 9.6, we described how the speed of light varies with wavelength (or frequency) for transparent solids. But the speed of light in matter is also a function of temperature and pressure. This dependence is most marked for gases and is instrumental in producing such things as mirages and atmospheric refraction, the latter phenomenon being the displacement of an astronomical object (like the Sun or another star) from its true position because of the passage of its light through the atmosphere. Because Earth’s atmosphere is a gaseous mixture and easily compressed, its density is highest near Earth’s surface and gradually declines with altitude. (Refer to the discussion in Section 4.4 and Figure 4.29.) Thus, the speed of light in the atmosphere is lowest near the surface and gradually gets higher, approaching c as one goes farther and farther into space. Using this fact and the law of refraction, sketch the path a light ray from the Sun would follow upon entering Earth’s atmosphere, and predict the apparent position of the Sun relative to its true position (Figure 9.85). What does this tell you about the actual location of the Sun’s disk relative to your local horizon when you see it apparently setting brilliantly in the west in the evening?
Consider a common mirage formed by superheated air immediately above a roadway. A truck driver whose eyes are 2.00 m above the road, where n = 1.000 293, looks forward. She perceives the illusion of a patch of water ahead on the road. The road appears wet only beyond a point on the road at which her line of sight makes an angle of 1.20 below the horizontal. Find the index of refraction of the air immediately above the road surface.
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Impressionist painter Georges Seurat created paintings with an enormous number of dots of pure pigment, each of which was approximately 2.00 mm in diameter. The idea was to have colors such as red and green next to each other to form a scintillating canvas, such as in his masterpiece, A Sunday Afternoon on the Island of La Grande Jatte (Fig. P37.15). Assume = 500 nm and a pupil diameter of 5.00 mm. Beyond what distance would a viewer be unable to discern individual dots on the canvas? Figure P37.15

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