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Chapter 35: Q35P (page 1076)
We wish to coat flat glass (n = 1.50) with a transparent material (n = 1.25) so that reflection of light at wavelength 600 nm is eliminated by interference. What minimum thickness can the coating have to do this?
The minimum thickness of coating is
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In Fig 35-59, an oil drop () floats on the surface of water () and is viewed from overhead when illuminated by sunlight shinning vertically downward and reflected vertically upward. (a) Are the outer (thinnest) regions of the drop bright or dark? The oil film displays several spectra of colors. (b) Move from the rim inward to the third blue band and using a wavelength of 475 nm for blue light, determine the film thickness there. (c) If the oil thickness increases, why do the colors gradually fade and then disappear?
Does the spacing between fringes in a two-slit interference pattern increase, decrease, or stay the same if
(a) the slit separation is increased,
(b) the color of the light is switched from red to blue, and
(c) the whole apparatus is submerged in cooking sherry?
(d) If the slits are illuminated with white light, then at any side maximum, does the blue component or the red component peak closer to the central maximum?
If the distance between the first and tenth minima of a double-slit pattern is 18.0 mm and the slits are separated by 0.150 mm with the screen 50.0 cm from the slits, what is the wavelength of the light used?
Light travels along the length of a 1500 nm-long nanostructure. When a peak of the wave is at one end of the nanostructure, is there a peak or a valley at the other end of the wavelength (a) 500nm and (b) 1000nm?
Figure 35-46a shows a lens with radius of curvature lying on a flat glass plate and illuminated from above by light with wavelength l. Figure 35-46b (a photograph taken from above the lens) shows that circular interference fringes (known as Newton’s rings) appear, associated with the variable thickness d of the air film between the lens and the plate. Find the radii r of the interference maxima assuming.
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