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Chapter 36: Q64P (page 1113)
What is the smallest Bragg angle for x rays of wavelength 30 pm to reflect from reflecting planes spaced 0.30 nm apart in a calcite crystal?
The angle minimum will be .
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The telescopes on some commercial surveillance satellites can resolve objects on the ground as small as across (see Google Earth), and the telescopes on military surveillance satellites reportedly can resolve objects as small as across. Assume first that object resolution is determined entirely by Rayleigh’s criterion and is not degraded by turbulence in the atmosphere. Also assume that the satellites are at a typical altitude of and that the wavelength of visible light is role="math" localid="1663028559183" . What would be the required diameter of the telescope aperture for (a) role="math" localid="1663028596951" resolution and (b) role="math" localid="1663028635287" resolution? (c) Now, considering that turbulence is certain to degrade resolution and that the aperture diameter of the Hubble Space Telescope is role="math" localid="1663028673584" , what can you say about the answer to (b) and about how the military surveillance resolutions are accomplished?
Prove that it is not possible to determine both wavelength of incident radiation and spacing of reflecting planes in a crystal by measuring the Bragg angles for several orders.
How far from grains of red sand must you be to position yourself just at the limit of resolving the grains if your pupil diameter is , the grains are spherical with radius , and the light from the grains has wavelength ? (a) If the grains were blue and the light from them had wavelength , would the answer to (b) be larger or smaller?
In Fig. 36-48, an x-ray beam of wavelengths from 95.0 to 140 pm is incident at to a family of reflecting planes with spacing .What are the (a) longest wavelength and (b) associated order number m and the (c) shortest and (d) associated m of the intensity maxima in the diffraction of the beam?
A diffraction grating has 200 lines/mm. Light consisting of a continuous range of wavelengths between 550 nm and 700 nm s incident perpendicularly on the grating.
(a) What is the lowest order that is overlapped by another order?
(b) What is the highest order for which the complete spectrum is present?
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