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Chapter 27: Q7PE (page 997)
Calculate the angle for the third-order maximum of 580-nm wavelength yellow light falling on double slits separated by 0.100 mm.
The angle for the third-order maximum for the yellow light is
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(a) What is the minimum angular spread of a \(633 - nm\) wavelength \({\rm{He - Ne}}\) laser beam that is originally \(1.00{\rm{ }}mm\) in diameter?
(b) If this laser is aimed at a mountain cliff \(15.0{\rm{ }}km\) away, how big will the illuminated spot be?
(c) How big a spot would be illuminated on the Moon, neglecting atmospheric effects? (This might be done to hit a corner reflector to measure the round-trip time and, hence, distance.) Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics.
A double-slit produces a diffraction pattern that is a combination of single and double-slit interference. Find the ratio of the width of the slits to the separation between them, if the first minimum of the single slit pattern falls on the fifth maximum of the double-slit pattern. (This will greatly reduce the intensity of the fifth maximum.)
Consider difdfraction limits for an electromagnetic wave interacting with a circular object. Construct a problem in which you calculate the limit of angular resolution with a device, using this circular object (such as a lens, mirror, or antenna) to make observations. Also calculate the limit to spatial resolution (such as the size of features observable on the Moon) for observations at a specific distance from the device. Among the things to be considered are the wavelength of electromagnetic radiation used, the size of the circular object, and the distance to the system or phenomenon being observed
How do wave effects depend on the size of the object with which the wave interacts? For example, why does sound bend around the corner of a building while light does not?
Answer the above question if the fluid between the two pieces of crown glass is carbon disulfide?
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