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Chapter 35: Q 4. (page 1016)
A red card is illuminated by red light. What color will the card appear? What if it’s illuminated by blue light?
Red in first case and black in second case.
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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 magnifier has a magnification of . How far from the lens should an object be held so that its image is seen at the near-point distance of ? Assume that your is immediately behind the lens.
A hydrogen discharge lamp emits light with two prominent wavelengths: (red) and (blue). The light enters
a flint-glass prism perpendicular to one face and then refracts
through the hypotenuse back into the air. The angle between
these two faces is .
a. Use Figure to estimate to the index of refraction
of flint glass at these two wavelengths.
b. What is the angle (in degrees) between the red and blue light
as it leaves the prism?
A reflecting telescope is built with a -diameter mirror having anm focal length. It is used with aneyepiece.
What are:
(a) the magnification?
(b) the of the telescope?
A common optical instrument in a laser laboratory is a beam expander. One type of beam expander is shown in FIGURE P . The parallel rays of a laser beam of width w1 enter from the left.
a. For what lens spacing d does a parallel laser beam exit from the right?
b. What is the width w2 of the exiting laser beam?
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