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Chapter 36: Q69P (page 1113)
X rays of wavelength are found to undergo second order reflection at a Bragg angle offrom a lithium fluoride crystal. What is the interplanar spacing of the reflecting planes in the crystal?
The inter planar spacing of the reflecting planes in the crystal is .
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A diffraction grating 20.0 mm wide has 6000 rulings. Light of wavelength 589 nm is incident perpendicularly on the grating. What are the
(a) largest,
(b) second largest,
(c) third largest values of at which maxima appear on a distant viewing screen?
Light of wavelength 440 nm passes through a double slit, yielding a diffraction pattern whose graph of intensity I versus angular position is shown in Fig. 36-44. Calculate (a) the slit width and (b) the slit separation. (c) Verify the displayed intensities of the and interference fringes.
For the situation in Questions 9 and Fig. 1, if instead we increased the grating spacing, would (a) the half-widths of the lines and (b) the separation of the lines increase, decrease, or remain the same? (c) Would the lines shift to the right, shift to the left, or remain in place?
If Superman really had x-ray vision at wavelength and a pupil diameter, at what maximum altitude could he distinguish villains from heroes, assuming that he needs to resolve points separated by to do this?
Manufacturers of wire (and other objects of small dimension) sometimes use a laser to continually monitor the thickness of the product. The wire intercepts the laser beam, producing a diffraction pattern like that of a single slit of the same width as the wire diameter (Fig.). Suppose a helium 鈥� neon laser, of wavelength , illuminates a wire, and the diffraction pattern appears on a screen at distance . If the desired wire diameter is , what is the observed distance between the two tenth-order minima (one on each side of the central maximum)?
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