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Chapter 35: Q. 17 (page 1017)
A -diameter microscope objective has a focal length of . What object distance gives a lateral magnification of ?
The object distance is .
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The lens shown in FIGURE CP is called an achromatic doublet, meaning that it has no chromatic aberration. The left side is flat, and all other surfaces have radii of curvature R.
a. For parallel light rays coming from the left, show that the effective focal length of this two-lens system is , where localid="1648757054673" and are, respectively, the indices of refraction of the diverging and the converging lenses. Don鈥檛 forget to make the thin-lens approximation.
b. Because of dispersion, either lens alone would focus red rays and blue rays at different points. Define and as for the two lenses. What value of the ratio makes for the two-lens system? That is, the two-lens system does not exhibit chromatic aberration.
c. Indices of refraction for two types of glass are given in the table. To make an achromatic doublet, which glass should you use for the converging lens and which for the diverging lens? Explain
Crown glass 1.525 1.517
Flint glass 1.632 1.616
d. What value of R gives a focal length of ?
The center of the galaxy is filled with low-density hydrogen gas that scatters light rays. An astronomer wants to take a picture of the center of the galaxy. Will the view be better using ultraviolet light, visible light, or infrared light? Explain.
The cornea, a boundary between the air and the aqueous humor, has a focal length when acting alone. What is its radius of curvature?
Yang can focus on objects away with a relaxed eye. With full accommodation, she can focus on objects away. After her eyesight is corrected for distance vision, what will her near point be while wearing her glasses?
Suppose a camera鈥檚 exposure is correct when the lens has a focal length of 8.0 mm. Will the picture be overexposed, underexposed, or still correct if the focal length is 鈥渮oomed鈥� to 16.0 mm without changing the diameter of the lens aperture? Explain
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