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Chapter 35: Q29P (page 1076)
Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their phase difference is 60.0°. What is the resultant amplitude?
The resultant amplitude of wave is 2.65 .
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A double-slit arrangement produces interference fringes for sodium light that have an angular separation of . For what wavelength would the angular separation be 10% greater?
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?
If you move from one bright fringe in a two-slit interference pattern to the next one farther out,
(a) does the path length difference increase or decrease and
(b) by how much does it change, in wavelengths ?
In Fig. 35-31, a light wave along ray reflects once from a mirror and a light wave along ray reflects twice from that same mirror and once from a tiny mirror at distance from the bigger mirror. (Neglect the slight tilt of the rays.) The waves have wavelength 620 nm and are initially in phase. (a) What is the smallest value of that puts the final light waves exactly out of phase? (b) With the tiny mirror initially at that value of , how far must it be moved away from the bigger mirror to again put the final waves out of phase?
Transmission through thin layers. In Fig. 35-43, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) Part of the light ends up in material 3 as ray (the light does not reflect inside material 2) and (the light reflects twice inside material 2). The waves of and interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-3 refers to the indexes of refraction and the type of interference, the thin-layer thickness in nanometers, and the wavelength in nanometers of the light as measured in air. Where is missing, give the wavelength that is in the visible range. Where is missing, give the second least thickness or the third least thickness as indicated.
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