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Chapter 35: Q. 7 (page 1017)
What is theof a lens with a focal length and adiameter aperture?
The value of is .
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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?
A beam of white light enters a transparent material. Wavelengths for which the index of refraction is n are refracted at angle . Wavelengths for which the index of refraction is , where , are refracted at angle .
a). Show that the angular separation of the two wavelengths, in radians, is
b). A beam of white light is incident on a piece of glass at 30.0°. Deep violet light is refracted 0.28° more than deep red light. The index of refraction for deep red light is known to be 1.552. What is the index of refraction for deep violet light?
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 and your right eye’s 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?
A camera has a circular aperture immediately behind the lens. Reducing the aperture diameter to half its initial value will
A. Make the image blurry.
B. Cut off the outer half of the image and leave the inner half unchanged.
C. Make the image less bright.
D. All the above.
Explain your choice.
Modern microscopes are more likely to use a camera than human viewing. This is accomplished by replacing the eyepiece in Figure 35.14 with a photo-ocular that focuses the image of the objective to a real image on the sensor of a digital camera. A typical sensor is 22.5 mm wide and consists of 5625 4.0@mm@ wide pixels. Suppose a microscopist pairs a 40* objective with a 2.5* photo-ocular.
a. What is the field of view? That is, what width on the microscope stage, in mm, fills the sensor?
b. The photo of a cell is 120 pixels in diameter. What is the cell’s actual diameter, in mm?
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