Chapter 35: Q. 8 (page 1017)
What is the aperture diameter of a focal-length lens set to
The Diameter of the aperture is.
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A common optical instrument in a laser laboratory is a beam expander. One type of beam expander is shown in FIGURE P35.29.
The parallel ray of a laser beam of width enter from the left.
a. For what lens spacing d does a parallel laser beam exit from the right?
b. What is the width of the exiting laser beam?
A scientist needs to focus a helium-neon laser beam to a spot behind a lens
(a) what focal-length lens should she use?
(b) what minimum diameter must the lens have?
An astronomer is trying to observe two distant stars. The stars are marginally resolved when she looks at them through a filter that passes green light with a wavelength near 550 nm. Which of the following actions would improve the resolution? Assume that the resolution is not limited by the atmosphere.
A. Changing the filter to a different wavelength. If so, should she use a shorter or a longer wavelength?
B. Using a telescope with an objective lens of the same diameter but a different focal length. If so, should she select a shorter or a longer focal length?
C. Using a telescope with an objective lens of the same focal length but a different diameter. If so, should she select a larger or a smaller diameter?
D. Using an eyepiece with a different magnification. If so, should she select an eyepiece with more or less magnification?
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.
A beam of white light enters a transparent material. Wavelengths for which the index of refraction is n are refracted at angle u2. Wavelengths for which the index of refraction is n + dn, where dn V n, are refracted at angle u2 + du.
a. Show that the angular separation of the two wavelengths, in radians, is du = -1dn/n2 tan u2.
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?
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