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The condition for constructive interference by reflection from a thin film in air as developed in Section 36.5 assumes nearly normal incidence. What If? Suppose the light is incident on the film at a nonzero angle θ1 (relative to the normal). The index of refraction of the film is n, and the film is surrounded by vacuum. Find the condition for constructive interference that relates the thickness t of the film, the index of refraction n of the film, the wavelength λ of the light, and the angle of incidence θ1.
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Chapter 36 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 10th + WebAssign Printed Access Card for Serway/Jewett's Physics for Scientists and Engineers, 10th, Multi-Term
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- A thin film of glass (n 1.52) of thickness 0.420 um is viewed under white light at near normal incidence. What wavelength of visible light is most strongly reflected by the film when sur- rounded by air?arrow_forwardOur discussion of the techniques for determining constructive and destructive interference by reflection from a thin film in air has been confined to rays striking the film at nearly normal incidence. What If? Assume a ray is incidentat an angle of 30.0° (relative to the normal) on a film with index of refraction 1.38 surrounded by vacuum. Calculate the minimum thickness for constructive interference of sodium light with a wavelength of 590 nm.arrow_forwardWhite light reflects at normal incidence from the top and bottom surfaces of a glass plate 1n = 1.522. There is air above and below the plate. Constructive interference is observed for light whose wavelength in air is 477.0 nm. What is the thickness of the plate if the next longer wavelength for which there is constructive interference is 540.6 nm?arrow_forward
- Thin Film Light is incident perpendicularly on a soap film suspended in air. The soap has an index of refraction n2 greater than that of air (n1 = 1.00). The phase shift for reflection at the air to soap interface is O T radians T radians 2 The phase shift for reflection at the air to soap interface is O I radians T radians 3 Given n2 = 1.32, what is the second least thickness of the soap film for which light of wavelength 556 nm has reflected light that undergoes fully constructive interference? (Express answer in nm to zero decimal places.) Type your answer...arrow_forwardA transparent film (n = 1.19) is deposited on a glass plate (n = 1.52) to form a nonreflective coating. The film has a thickness of 1.06 × 10 -7 m. What is the longest possible wavelength (in vacuum) of light for which this film has been designed?arrow_forwardA thin uniform film of refractive index 1.750 is placed on a sheet of glass with a refractive index 1.50. At room temperature (22.4 °C), this film is just thick enough for light with a wavelength 580.5 nm reflected off the top of the film to be canceled by light reflected from the top of the glass. After the glass is placed in an oven and slowly heated to 176 °C, you find that the film cancels reflected light with a wavelength 588.0 nm Part A What is the coefficient of linear expansion of the film? (Ignore any changes in the refractive index of the film due to the temperature change.) Express your answer using two significant figures. α = Submit 96 ΫΠ ΑΣΦ Request Answer ? Review | Constants (°C) -¹arrow_forward
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