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?
Short Answer
Red in first case and black in second case.
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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Get started for freeA narrow beam of white light is incident on a sheet of quartz. The beam disperses in the quartz, with red light traveling at an angle of with respect to the normal and violet light traveling at . The index of refraction of quartz for red light is . What is the index of refraction of quartz for violet light?
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 sheet of glass has and . A narrow beam of white light is incident on the glass at . What is the angular spread of the light inside the glass?
A telescope has a diameter objective lens. What minimum diameter must the eyepiece lens have to collect all the light rays from an on-axis distant source?
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.
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