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Chapter 27: Q3CQ (page 994)
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?
Sound bends at the building's corner because the building's dimension is equal to the wavelength of the sound waves.
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(a) If a single slit produces a first minimum at \({\rm{14}}{\rm{.5^\circ }}\),at what angle is the second-order minimum? (b) What is the angle of the third-order minimum? (c) Is there a fourth-order minimum? (d) Use your answers to illustrate how the angular width of the central maximum is about twice the angular width of the next maximum (which is the angle between the first and second minima).
In placing a sample on a microscope slide, a glass cover is placed over a water drop on the glass slide. Light incident from above can reflect from the top and bottom of the glass cover and from the glass slide below the water drop. At which surfaces will there be a phase change in the reflected light?
The \(300 - m\)-diameter Arecibo radio telescope pictured in Figure \(27.28\) detects radio waves with a \(4.00{\rm{ }}cm\) average wavelength.
(a) What is the angle between two just-resolvable point sources for this telescope?
(b) How close together could these point sources be at the \({\rm{2}}\) million light year distance of the Andromeda galaxy?
Figure \(27.28\) A \(305 - m\)-diameter natural bowl at Arecibo in Puerto Rico is lined with reflective material, making it into a radio telescope. It is the largest curved focusing dish in the world. Although \(D\) for Arecibo is much larger than for the Hubble Telescope, it detects much longer wavelength radiation and its difdfraction limit is significantly poorer than Hubble's. Arecibo is still very useful, because important information is carried by radio waves that is not carried by visible light. (credit: Tatyana Temirbulatova, Flickr)
What is the wavelength of light falling on double slits separated by 2.00 碌m if the third-order maximum is at an angle of 60.0潞 ?
Red light of wavelength of 700 nm falls on a double slit separated by 400 nm. (a) At what angle is the first-order maximum in the diffraction pattern? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
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