Chapter 32: Problem 5
You can hear around corners, but you can't see around corners. Why?
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Chapter 32: Problem 5
You can hear around corners, but you can't see around corners. Why?
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Find the total number of lines in a 2.5 -cm-wide diffraction grating whose third-order spectrum puts the 656 -nm hydrogen- \(\alpha\) spectral line \(37^{\circ}\) from the central maximum.
Under the best conditions, atmospheric turbulence limits groundbased telescopes' resolution to about 1 arcsecond \((1 / 3600\) of a degree). For what apertures is this limitation more severe than that of diffraction at \(550 \mathrm{nm} ?\) (Your answer shows why large ground-based telescopes don't generally produce better images than small ones, although they do gather more light.)
A double-slit system is used to measure the wavelength of light. The system has slit spacing \(d=15 \mu \mathrm{m}\) and slit-to-screen distance \(L=2.2 \mathrm{m} .\) If the \(m=1\) maximum in the interference pattern occurs \(7.1 \mathrm{cm}\) from screen center, what's the wavelength?
A thin-walled glass tube of length \(L\) containing a gas of unknown refractive index is placed in one arm of a Michelson interferometer using light of wavelength \(\lambda\). The tube is then evacuated. During the process, \(m\) bright fringes pass a fixed point in the viewer. Find an expression for the refractive index of the gas.
Green light at \(520 \mathrm{nm}\) is diffracted by a grating with 3000 lines/cm. Through what angle is the light diffracted in (a) first and (b) fifth order?
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