Yellow light of 570 nm is reflected from a thin film of air between two glass plates. The thickness of the film is 1710 nm. (a) How much farther does the light reflected from the bottom surface of the film travel than that reflected from the top surface? (b) How many wavelengths of light does this represent?

Yellow light of 570 nm is reflected from a thin film of air between two glass plates. The thickness of the film is 1710 nm. (a) How much farther does the light reflected from the bottom surface of the film travel than that reflected from the top surface? (b) How many wavelengths of light does this represent?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 23P: A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence...

See similar textbooks

Similar questions

Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.
Light of wavelength 500 nm is incident perpendicularly from air on a film 10-4 cm thick and of refractive index 1.375. Part of the light enters the film and is reflected back at the second surface. How many “wavelengths” are contained along the path of this light in the film? What is the phase difference between these reflected waves as they leave the film at the first surface?
Red light having a wavelength of 690 nm (in air) is vertically incident on a thin film of oil that has an index of refraction of 1.19. The film of oil floats above water (having an index of refraction of 1.30). The red light is brightly reflected. The minimum (nonzero) thickness of the film of oil is 580 nm. 145 nm. 290 nm. 345 nm.
A film of liquid with refractive index 1.3 is spread on glass whose refractive index is 1.65. Determine the thickness of the film for which orange light of wavelength 620 nm at normal incidence is not reflected.
A 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) -¹
Two waves of light in air, of wavelength 600.0 nm, are initially in phase. They then travel through plastic layers as shown in the figure below, with L1 = 3.53 µm, L2 = 3.00 µm, n1 = 1.37, and n2 = 1.61. What multiple of A gives their phase difference after they have both emerged from the layers? Give absolute value.
Violet light of 425 nm is reflected from a thin film of air between two glass plates. The thickness of the film is 1450 nm.How much farther does the light reflected from the bottom surface of the film travel than that reflected from the top surface?
White light hits the surface of a thin film (n = 1.6) perpendicularly. There is air on both sides of the membrane. The wavelengths 504 nm and 672 nm are missing from the reflected light. a) What is the minimum thickness of the thin film? b) Which wavelengths are strongly visible in the reflected light?
A 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?
A surface of glass with refraction index of 1.67 is covered with a thin film with refraction index of 1.56. Find the smallest thickness of the film in two cases: (a) The light of wavelength 534 nm is most strongly reflected t= nm; (b) The light of wavelength 534 nm is most strongly transmitted t= nm;
A thin film of oil (n = 1.25) is located on smooth wet pavement, creating a system composed of the following basic layers: air, oil (the thin film), and water. When viewed from a direction perpendicular to the pavement, the film reflects red light of 640nm and reflects no green light of 512nm. (a) What are the possible film thicknesses that allow the read light to be reflected? (b) What are the possible film thicknesses if the green light is not reflected? (c) What is the minimum thickness of the oil film if both conditions are satisfied? Hint: compute at least 4 thicknesses in parts (a) and (b)
Light travelling from air hits a dangerous glycerol (n=1.45) spill on the top of a piece of pyrex glass (n=1.55). If a scientist observes dark spots from the glycerol spill, and the thickness of the film was measured to be 128 nm, determine the wavelength of light in air.