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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Two converging lenses with focal lengths of and are apart. A tall object is in front of thefocal-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.
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 n + , 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?
A camera takes a properly exposed photo with a diameter aperture and a shutter speed of . What is the appropriate aperture diameter for a shutter speed?
What is the f-number of a relaxed eye with the pupil fully dilated to mm? model the eye as a single lens 2.4 cm in front of the retina
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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