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Chapter 32: Problem 26
For what ratio of slit width to wavelength will the first minima of a single- slit diffraction pattern occur at \(\pm 90^{\circ} ?\)
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Suppose one of the 10 -m-diameter Keck Telescopes in Hawaii is trained on San Francisco, \(3400 \mathrm{km}\) away. Assuming \(550-\mathrm{nm}\) light, and ignoring atmospheric distortion, would it be possible to read (a) newspaper headlines or (b) a billboard sign at this distance? (c) Repeat for the case of the Keck optical interferometer, formed from the two 10 -m Keck Telescopes and several smaller ones, with a 50 -m effective aperture.
A screen \(1.0 \mathrm{m}\) wide is \(2.0 \mathrm{m}\) from a pair of slits illuminated by 633 -nm laser light, with the screen's center on the centerline of the slits. Find the highest-order bright fringe that will appear on the screen if the slit spacing is (a) \(0.10 \mathrm{mm}\) and (b) \(10 \mu \mathrm{m}\).
Sketch roughly the diffraction pattern you would expect for light passing through a square hole a few wavelengths wide.
In the second-order spectrum from a diffraction grating, yellow light at 588 nm overlaps violet light (wavelength range \(390 \mathrm{nm}-\) \(450 \mathrm{nm})\) diffracted in a different order. What's the exact wavelength of the violet light, and what's the order of its diffraction?
An oil film with refractive index 1.25 floats on water. The film thickness varies from \(0.80 \mu \mathrm{m}\) to \(2.1 \mu \mathrm{m} .\) If 630 -nm light is incident normally on the film, at how many locations will it undergo enhanced reflection?
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