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Chapter 32: Problem 2
Why does an oil slick show colored bands?
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In bright light, the human eye's pupil diameter is about \(2 \mathrm{mm}\). If diffraction were the limiting factor, what's the eye's minimum angular resolution under these conditions, assuming \(550-\mathrm{nm}\) light?
A camera has an \(f / 1.4\) lens, meaning the ratio of focal length to lens diameter is \(1.4 .\) Find the smallest spot diameter (i.e., the diameter of the first diffraction minimum) to which this lens can focus parallel light with 580 -nm wavelength.
You're designing a spectrometer whose specifications call for a minimum of \(5^{\circ}\) separation between the red hydrogen- \(\alpha\) line at \(656 \mathrm{nm}\) and the yellow sodium line at \(589 \mathrm{nm}\) when the two are observed in third order with a grating spectrometer. Available gratings have 2500 lines/cm, 3500 lines/cm, or 4500 lines/cm. What's the coarsest grating you can use?
A double-slit experiment has slit spacing \(0.035 \mathrm{mm},\) slit-toscreen distance \(1.5 \mathrm{m},\) and wavelength \(490 \mathrm{nm} .\) What's the phase difference between two waves arriving at a point \(0.56 \mathrm{cm}\) from the center line of the screen?
Why does a soap bubble turn colorless just before it dries up and pops?
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