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Chapter 32: Problem 11
A double-slit experiment with \(d=0.025 \mathrm{mm}\) and \(L=75 \mathrm{cm}\) uses 550 -nm light. Find the spacing between adjacent bright fringes.
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Light of unknown wavelength shines on a precisely machined glass wedge with refractive index \(1.52 .\) The closest point to the apex of the wedge where reflection is enhanced occurs where the wedge is 98 nm thick. Find the wavelength.
While driving at night, your eyes' irises dilate to 3.1 -mm diameter. If your vision were diffraction limited, what would be the greatest distance at which you could see as distinct the two headlights of an oncoming car, spaced \(1.5 \mathrm{m}\) apart? Take \(\lambda=550 \mathrm{nm}\).
Find the angular position of the second-order bright fringe in a double-slit system whose slit spacing is \(1.5 \mu \mathrm{m}\) for (a) red light at \(640 \mathrm{nm},\) (b) yellow light at \(580 \mathrm{nm},\) and (c) violet light at \(410 \mathrm{nm}\).
A five-slit system with 7.5 - \(\mu\) m slit spacing is illuminated with 633-nm light. Find the angular positions of (a) the first two maxima and (b) the third and sixth minima.
The CIA wants your help identifying individual terrorists in a photo of a training camp taken from a spy satellite at \(100-\mathrm{km}\) altitude. You ask for details of the optical system used, but they're classified. However, they do tell you that the optics are diffraction limited and can resolve facial features as small as \(5 \mathrm{cm} .\) Assuming a typical optical wavelength of 550 nm, what do you conclude about the size of the mirror or lens in the satellite camera?
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