Chapter 27: Q5CQ (page 994)
Go outside in the sunlight and observe your shadow. It has fuzzy edges even if you do not. Is this a diffraction effect? Explain.
It's not a diffraction effect, no.
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Figure shows a double slit located a distance from a screen, with the distance from the center of the screen given by . When the distance between the slits is relatively large, there will be numerous bright spots, called fringes. Show that, for small angles (where , with in radians), the distance between fringes is given by .
Find the angle for the third-order maximum for -wavelength yellow light falling on a diffraction grating having lines per centimeter.
(a) What is the smallest separation between two slits that will produce a second-order maximum for any visible light? (b) For all visible light?
What is the highest-order maximum for 400-nm light falling on double slits separated by 25.0 ยตm?
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)
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