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Chapter 36: Q56P (page 1113)
(a) How many rulings must a 4.00-cm-wide diffraction grating have to resolve the wavelengths 415.496 and 415.487 nm in the second order? (b) At what angle are the second-order maxima found?
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In June 1985, a laser beam was sent out from the Air Force Optical Station on Maui, Hawaii, and reflected back from the shuttle Discovery as it sped by 354 km overhead. The diameter of the central maximum of the beam at the shuttle position was said to be 9.1 m, and the beam wavelength was 500 nm. What is the effective diameter of the laser aperture at the Maui ground station? (Hint: A laser beam spreads only because of diffraction; assume a circular exit aperture.)
If we make in Fig. 36-50, the two slits coalesce into a single slit of width . Show that Eq. 36-19 reduces to give the diffraction pattern for such a slit.
With a particular grating the sodium doublet (589.00 nm and 589.59 nm) is viewed in the third order at to the normal and is barely resolved. Find (a) the grating spacing and (b) the total width of the rulings.
Estimate the linear separation of two objects on Mars that can just be resolved under ideal conditions by an observer on Earth (a) using the naked eye and (b) using the Mount Palomar telescope. Use the following data: distance to Mars = , diameter of pupil = , wavelength of light .
In Fig. 36-48, let a beam of x-rays of wavelength 0.125 nm be incident on an NaCl crystal at angle 胃 = 45.0掳 to the top face of the crystal and a family of reflecting planes. Let the reflecting planes have separation d = 0.252 nm. The crystal is turned through angle 蠒 around an axis perpendicular to the plane of the page until these reflecting planes give diffraction maxima. What are the (a) smaller and (b) larger value of 蠒 if the crystal is turned clockwise and the (c) smaller and (d) larger value of 蠒 if it is turned counter-clockwise
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