Two soap bubble are floating in air. Each bubble has the shape of a spherical shell and a refractive index of 1.35. Bubble A has a wall thickness of 100 nm. The wavelength of visible light that is most strongly reflected from bubble A is 540 nm. The wavelength of visible light that is most strongly reflected from bubble B is also 540 nm. Calculate three possible values for the wall thickness of bubble B.

Two soap bubble are floating in air. Each bubble has the shape of a spherical shell and a refractive index of 1.35. Bubble A has a wall thickness of 100 nm. The wavelength of visible light that is most strongly reflected from bubble A is 540 nm. The wavelength of visible light that is most strongly reflected from bubble B is also 540 nm. Calculate three possible values for the wall thickness of bubble B.

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 38P

See similar textbooks

Similar questions

3. a) Calculate the reflectance of a quarter-wave anti-reflecting film of magnesium fluoride (n = 1.35) coated on an optical glass surface of index 1.52. b) Calculate the peak reflectance of a high-reflecting multilayer film consisting of N = 4 stacks of coating materials with high-low refractive index (nH = 2.8 and n, = 1.4).
To reduce the loss of light when reflected from the glass surface, the latter is covered with a thin layer of a substance, the refractive index of which is n '= sqrt (n), where n is the refractive index of the glass. At what minimum thickness d (min) of this layer will the reflectivity of glass in the normal direction be minimal for light with a wavelength λ?
Problem 7. After a car is painted, a highly reflective coating is sprayed on to make the car look extra shiny. The index of refraction of the coating is less than the index of refraction of the paint underneath. 14. The minimum thickness needed for this coating is 100 nm. Find the index of refraction of this coating if it is highly reflective for a wavelength = 510 nm, near the center of the visible spectrum. (A) 5.61 (B) 6.94 (C) 3.56 (D) 4.89 (E) 2.55
The index of refraction of a glass rod is 1.48 at T = 20.0°C and varies linearly with temperature, with a coefficient of 2.50 x 10-5C⁰-1. The coefficient of linear expansion of the glass is 5.00 x 10-6C⁰-1. At 20.0 °C the length of the rod is 2.80 cm. A Michelson interferometer has this glass rod in one arm, and the rod is being heated so that its temperature increases at a rate of 5.00 C°/min. The light source has wavelength λ = 569 nm, and the rod initially is at T = 20.0°C. Part A How many fringes cross the field of view each minute? ΔΝ = Submit ΤΙ ΑΣΦ Request Answer < Return to Assignment Provide Feedback ? fringes/minute
A thin layer of oil with index of refraction no = 1.47 is floating above the water. The index of refraction of water is nw = 1.3. The index of refraction of air is na = 1. A light with wavelength λ = 325 nm goes in from the air to oil and water. Part (a) Express the wavelength of the light in the oil, λo, in terms of λ and no. Part (b) Express the minimum thickness of the film that will result in destructive interference, tmin, in terms of λo. Part (c) Express tmin in terms of λ and no. Part (d) Solve for the numerical value of tmin in nm.
A quarter-wave plate is made from a material whose indices of refraction for light of free-space wavelength Ao = 589 nm are n = 1.732 and n = 1.456. What is the minimum necessary thickness of the plate for this wavelength?
A flat piece of glass is held stationary and horizontal above the highly polished, flat top end of a 10.0-cm-long vertical metal rod that has its lower end rigidly fixed. The thin film of air between the rod and glass is observed to be bright by reflected light when it is illuminated by light of wavelength 500 nm. As the temperature is slowly increased by 25.0°C, the film changes from bright to dark and back to bright 200 times. What is the coefficient of linear expansion of the metal?
White light passes through a 15.0-cm-thick, silicate flint, glass slab with opposite, smooth, parallel surfaces as shown in the diagram below. The angle of incidence of the white light at the top surface is 38.0○ For this type of glass, the index of refraction of red light at 700 nm is 1.625, and the index of refraction for violet light at 400 nm is 1.660. Find the width of the spectrum of light along the surface at the bottom of the slab.
White light passes through a 15.0-cm-thick, silicate flint, glass slab with opposite, smooth, parallel surfaces as shown in the diagram below. The angle of incidence of the white light at the top surface is 38.0○ For this type of glass, the index of refraction of red light at 700 nm is 1.625, and the index of refraction for violet light at 400 nm is 1.660. Find the width of the spectrum of light along the surface at the bottom of the slab.
A monochromatic light of wavelength 316 nm in air is passing through a piece of glass of index of refraction n. The angle of incidence and refraction are 0₁ = 60° and 0₂ = 46° as shown in the figure. What is the speed of light in the glass? (c = 3.00 x 108 m/s) nair = 1 n a) 2.49 x 108 m/s b) 1.82 x 108 m/s c) 3.0 x 108 m/s d) 5.0 x 108 m/s e) None of these is correct. Write your own
The index of refraction of a glass rod is 1.48 at T = 20.0°C and varies linearly with temperature, with a coefficient of 2.50 x 10-5/C°. The coefficient of linear expansion of the glass is 5.00 x 10-6/C°. At 20.0°C the length of the rod is 3.00 cm. A Michelson interferometer has this glass rod in one arm, and the rod is being heated so that its temperature increases at a rate of 5.00 C°/min. The light source has wavelength λ = 589 nm, and the rod initially is at T = 20.0°C. How many fringes cross the field of view each minute?
The index of refraction of corundum (Al2O3) is anisotropic. Suppose that visible light is passing from one grain to another of different crystallographic orientation and at normal incidence to the grain boundary. Calculate the reflectivity at the boundary if the indices of refraction for the two grains are 1.757 and 1.779 in the direction of light propagation.