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Chapter 36: Q68P (page 1113)
If first-order reflection occurs in a crystal at Bragg angle, at what Bragg angle does second-order reflection occur from the same family of reflecting planes?
The angle will be 6.8 degrees.
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A beam of light consisting of wavelengths fromis directed perpendicularly onto a diffraction grating with 160 lines/mm. (a) What is the lowest order that is overlapped by another order? (b) What is the highest order for which the complete wavelength range of the beam is present? In that highest order, at what angle does the light at wavelength (c)and (d) appear? (e) What is the greatest angle at which the light at wavelengthappears?
The wings of tiger beetles (Fig. 36-41) are coloured by interference due to thin cuticle-like layers. In addition, these layers are arranged in patches that are across and produce different colours. The colour you see is a pointillistic mixture of thin-film interference colours that varies with perspective. Approximately what viewing distance from a wing puts you at the limit of resolving the different coloured patches according to Rayleigh鈥檚 criterion? Use as the wavelength of light and as the diameter of your pupil.
In a certain two-slit interference pattern, 10 bright fringes lie within the second side peak of the diffraction envelope and diffraction minima coincide with two-slit interference maxima. What is the ratio of the slit separation to the slit width?
In three arrangements, you view two closely spaced small objects that are the same large distance from you. The angles that the objects occupy in your field of view and their distances from you are the following: (1) and ; (2) and ; (3) and . (a) Rank the arrangements according to the separation between the objects, with the greatest separation first. If you can just barely resolve the two objects in arrangement 2, can you resolve them in (b) arrangement 1 and (c) arrangement 3?
Monochromatic light (wavelength) is incident perpendicularly on a single slit (width). A screen is placed parallel to the slit plane, and on it the distance between the two minima on either side of the central maximum is .
(a) What is the distance from the slit to the screen? (Hint:The angle to either minimum is small enough that.)
(b) What is the distance on the screen between the first minimum and the third minimum on the same side of the central maximum?
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