An extremely thin sheet of glass is being inspected at the factory. Illuminated by white light at near-normal incidence, the film-like sheet is 0.372 µm thick and has air on both sides. If the glass has a refractive index of 1.52, what wavelength of visible light (in nm) does it reflect most strongly? (The wavelengths of visible light range from 400 to 700 nm.) Find the formula that relates thickness, refractive index, and wavelength for the case of constructive interference in light reflected from both sides of a thin

An extremely thin sheet of glass is being inspected at the factory. Illuminated by white light at near-normal incidence, the film-like sheet is 0.372 µm thick and has air on both sides. If the glass has a refractive index of 1.52, what wavelength of visible light (in nm) does it reflect most strongly? (The wavelengths of visible light range from 400 to 700 nm.) Find the formula that relates thickness, refractive index, and wavelength for the case of constructive interference in light reflected from both sides of a thin

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 63P: Both sides of a uniform film that has index of refraction n and thickness d are in contact with air....

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.
Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.378. (b) What If? If the temperature of the filter increases above the normal value, increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light.
Two polarizing sheets P1 and P2 are placed together with their transmission axes oriented at an angle to each other. What is when only 25% of the maximum transmitted light intensity passes through them?
A glass plate is 0.60 cm thick and has refractive index of 1.55. How long does it take for a pulse of light incident normally to pass through the plate?
A glass sheet 1.10 μm thick is suspended in air. In reflected light, there are gaps in the visible spectrum at 573 nm and 645.00 nm. Calculate the minimum value of the index of refraction ?n of the glass sheet that produces this effect. ?=
A thin layer of a transparent material that has an index of refraction of 1.25 is used as a nonreflective coating on the surface of glass that has an index of refraction of 1.50. What should the minimum thickness of the material be for the material to be nonreflecting for light that has a wavelength of 578 nm?
The light from a krypton laser has a wavelength of 647.1 nm in air. As the light travels from air into acrylic glass (n =1.491), calculate (a) its speed in acrylic glass, (b) its wavelength in acrylic glass, (c) its critical angle in acrylic glass surrounded by air, and (d) its frequency.
A technician places a fluid substance, with a refractive index of 1.75, between two horizontal panes of flat glass (each of which has n = 1.40). He then illuminates the assembly from above with monochromatic light (? = 550 nm). What is the minimum thickness (in nm) that the liquid layer must have if the light is to be strongly reflected back toward its source?
An optic fiber is a clear solid tube designed to transmit light pulses in a particular direction. To minimize losses, you want light hitting the inside surface of the tube to reflect for as large a range of angles as possible. Should the index of refraction of the fiber be large or small? Why?
An extremely thin sheet of glass is being inspected at the factory. Illuminated by white light at near-normal incidence, the film-like sheet is 0.429 µm thick and has air on both sides. If the glass has a refractive index of 1.52, what wavelength of visible light (in nm) does it reflect most strongly? (The wavelengths of visible light range from 400 to 700 nm.)
A beam of initially unpolarized light of intensity 569 W/m^2 passes through two polarizing filters in sequence, emerging from the second filter with an intensity of 108 W/m^2. What is the angle between the axes of the first and second filters?
A thin film of oil (n = 1.44) of thickness 436 nm with air on both sides is illuminated with white light at normal incidence. Determine the most strongly and the most weakly reflected wavelengths in the range 482 nm to 653 nm. (Enter your answers in (a) the most strongly reflected nm nm.) (b) the most weakly reflected nm