•39 In Fig. 34-38, a beam of parallel light rays from a laser is in-cident on a solid transparent sphere of index of refraction n. (a) Ifa point image is produced at theback of the sphere, what is the indexof refraction of the sphere? (b)What index of refraction, if any, willproduce a point image at the centerof the sphere?

Answered: Image /qna-images/answer/ece4012c-7790-42a4-9708-05e3c3650eca.jpg

Answered: •39 In Fig. 34-38, a beam of parallel…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter25: Geometric Optics

Section: Chapter Questions

Problem 12CQ: Is it possible that total internal reflection plays a role in rainbows? Explain in terms of indices...

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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?
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