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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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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?
The rays leaving the two-component optical system of FIGUREPproduce two distinct images of the-tall object. what are the position (relative to the lens), orientation, and height of each image?
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’t 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 ?
A microscope with a tube length of achieves a total magnification of with a objectives and a eye piece. The microscope is focused for viewing with a related eye. how far is the sample from the objective lens?
A -tall object is to the left of a lens with a focal length of . A second lens with a focal length of is to the right of the first 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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