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Chapter 35: Q.6 (page 1016)
A friend lends you the eyepiece of his microscope to use on your own microscope. He claims the spatial resolution of your microscope will be halved, since his eyepiece has the same diameter as yours but twice the magnification. Is his claim valid? Explain.
Claim is not valid.
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FIGURE shows a simple zoom lens in which the magnitudes of both focal lengths are . If the spacing , the image of the converging lens falls on the right side of the diverging lens. Our procedure of letting the image of the first lens act as the object of the second lens will continue to work in this case if we use a negative object distance for the second lens. This is called a virtual object. Consider an object very far to the left of the converging lens. Define the effective focal length as the distance from the midpoint between the lenses to the final image.
a. Show that the effective focal length is
b. What is the zoom for a lens that can be adjusted from to ?
A common optical instrument in a laser laboratory is a beam expander. one type of beam expander is shown in FIGURE P.
a. For what lens spacing d does a parallel laser beam exit from
the right?
b. What is the width of the exiting laser beam?
White light is incident onto a prism at the angle shown in . violet light emerges perpendicular to the rear face of the prism. The index of refraction of violet light in this glass is larger than the index of refraction of red light. At what angle does red light emerges from the rear face?
Marooned on a desert island and with a lot of time on your hands, you decide to disassemble your glasses to make a crude telescope with which you can scan the horizon for rescuers. Luckily you鈥檙e farsighted, and, like most people, your two eyes have different lens prescriptions. Your left eye uses a lens of power and your right eye鈥檚 lens is . a. Which lens should you use for the objective and which for the eyepiece? Explain.
b. What will be the magnification of your telescope?
c. How far apart should the two lenses be when you focus on distant objects?
The cornea, a boundary between the air and the aqueous humor, has a focal length when acting alone. What is its radius of curvature?
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