Consider a thin film of thickness t = 2.30 × 10-6 m and index of refraction ng = 1.20. The film is rest-ing on a material of index of refraction ne = 1.13, and its top face is exposed to air na = 1.00. What isthe shortest wavelength of visible light that will interfere destructively when incident on the film at angleOa = 22.0° from the normal? Give your answer in nanometers, to three significant figures. [Note: you mayignore the fact that the wavelength will change upon refraction; this will only very slightly affect the answer.]nc

From the question, it is given that- Thickness of thin film: t = 2.30×10-6 m Refractive index of…

Answered: Consider a thin film of thickness t =…

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 67AP: A transparent film of thickness 250 nm and index of refraction of 1.40 is surrounded by air. What...

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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.
If a microscope can accept light from objects at angles as large as =70 , what is the smallest structure that can be resolved when illuminated with light of wavelength 500 nm and (a) the specimen is in air? (b) When the specimen is immersed in oil, with index of refraction of 1.52?
To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
Check Your Understanding Although m, the number of fringes observed, is an integer, which is often regarded as having zero uncertainty, in practical terms, it is all too easy to lose track when counting fringes. In Example 3.6, if you estimate that you might have missed as many as five fringes when you reported m=122 fringes, (a) is the value for the index of refraction worked out in Example 3.6 too large or too small? (b) By how much?
If you have completely polarized light of intensity 150 W/m2 , what will its intensity be after passing through a polarizing filter with its axis at an 89.0 angle to the light’s polarization direction?
If bis Brewster’s angle for light reflected from the top of an interface between two substances, and bis Brewster’s angle for light reflected from below, prove that b+b=90.0
For 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?
A film of soapy water (n=1.33) on top of a plastic cutting board has a thickness of 233 nm. What color is most strongly reflected if it is illuminated perpendicular to its surface?
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At what angle ill lig1t reflected from diamond be completely polarized?
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 observedat λ1, where λ1> λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in as shown 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.

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