Chapter 35: Q.1 (page 1016)
Suppose a camera’s 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 “zoomed” to 16.0 mm without changing the diameter of the lens aperture? Explain
Picture is underexposed
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A scientist needs to focus a helium-neon laser beam to a spot behind a lens
(a) what focal-length lens should she use?
(b) what minimum diameter must the lens have?
White light is incident onto a prism at the shown in Figure . 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 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’re farsighted, and, like most people, your two eyes have different lens prescriptions. Your left eye uses a lens of power +4.5 D, and your right eye’s lens is +3.0 D. 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?
Your task in physics laboratory is to make a microscope from two lenses. one lens has a focal length of the other objective, and you want the eyepiece to be from the objective.
(a). For viewing with a relaxed eye, how far should the sample be from the objective lens?
(b). What is the magnification of your microscope?
Two converging lenses with focal lengths of 40 cm and 20 cm are 10 cm apart. A 2.0-cm-tall object is 15 cm in front of the 40-cm-focal-length lens. a). Use ray tracing to find the position and height of the image. Do this accurately using a ruler or paper with a grid, then make measurements on your diagram.
b). Calculate the image position and height. Compare with your ray-tracing answers in part a.
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