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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掳. What is the resultant amplitude?
The resultant amplitude of wave is 2.65 .
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In Fig. 35-44, a broad beam of light of wavelength 630 nm is incident at 90掳 on a thin, wedge-shaped film with index of refraction 1.50. Transmission gives 10 bright and 9 dark fringes along the film鈥檚 length. What is the left-to-right change in film thickness?
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.
White light is sent downward onto a horizontal thin film that is sandwiched between two materials. The indexes of refraction are for the top material, for the thin film, and for the bottom material. The film thickness is . Of the visible wavelengths ( to ) that result in fully constructive interference at an observer above the film, which is the (a) longer and (b) shorter wavelength? The materials and film are then heated so that the film thickness increases. (c) Does the light resulting in fully constructive interference shift toward longer or shorter wavelengths?
In Fig. 35-45, a broad beam of light of wavelength 683 nm is sent directly downward through the top plate of a pair of glass plates. The plates are 120 mm long, touch at the left end, and are separated by at the right end. The air between the plates acts as a thin film. How many bright fringes will be seen by an observer looking down through the top plate?
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 ofand 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. Whereis 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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