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Chapter 36: Q37P (page 1112)
In a double-slit experiment, the slit separation d is 2.00 times the slit width w. How many bright interference fringes are in the central diffraction envelope?
The number of bright interference fringes that are in the central diffraction envelope is 3.
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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?
Two emission lines have wavelengths and , respectively, where . Show that their angular separation in a grating spectrometer is given approximately by
where is the slit separation and is the order at which the lines are observed? Note that the angular separation is greater in the higher orders than the lower orders.
A single slit is illuminated by light of wavelengths and , chosen so that the first diffraction minimum of the component coincides with the second minimum of the component. (a) If , what is ? For what order number (if any) does a minimum of the component coincide with the minimum of the component in the order number (b) role="math" localid="1663142824281" and (c) ?
A diffraction grating with a width of 2.0 cm contains 1000 lines/cm across that width. For an incident wavelength of 600 nm, what is the smallest wavelength difference this grating can resolve in the second order?
A source containing a mixture of hydrogen and deuterium atoms emits red light at two wavelengths whose mean is 656.3 nm and whose separation is 0.180 nm. Find the minimum number of lines needed in a diffraction grating that can resolve these lines in the first order.
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