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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 two headlights of an approaching automobile are apart. At what (a) angular separation and (b) maximum distance will the eye resolve them? Assume that the pupil diameter is , and use a wavelength of for the light. Also assume that diffraction effects alone limit the resolution so that Rayleigh鈥檚 criterion can be applied.
In Fig. 36-47, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelengthmakes an angle with the top face of the crystal. What is the unit cell size?
If you double the width of a single slit, the intensity of the central maximum of the diffraction pattern increases by a factor of 4, even though the energy passing through the slit only doubles. Explain this quantitatively
(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?
Babinet鈥檚 principle. A monochromatic bean of parallel light is incident on a 鈥渃ollimating鈥� hole of diameter . Point P lies in the geometrical shadow region on a distant screen (Fig. 36-39a). Two diffracting objects, shown in Fig.36-39b, are placed in turn over the collimating hole. Object A is an opaque circle with a hole in it, and B is the 鈥減hotographic negative鈥� of A . Using superposition concepts, show that the intensity at P is identical for the two diffracting objects A and B .
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