A thin film of oil with an index of refraction of 1.55 rests on top of water (index of refraction of 1.33) in a parking lot. You notice that there is no orange light (wavelength 600 nm) reflected from the patch of oil. What is the minimum thickness of the film of oil? (in nm) (a) 194 (b) 290 (c) 113 (d) 97 (e) 226

A thin film of oil with an index of refraction of 1.55 rests on top of water (index of refraction of 1.33) in a parking lot. You notice that there is no orange light (wavelength 600 nm) reflected from the patch of oil. What is the minimum thickness of the film of oil? (in nm) (a) 194 (b) 290 (c) 113 (d) 97 (e) 226

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter36: Applications Of The Wave Model

Section: Chapter Questions

Problem 23PQ

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.
Red light (wavelength 632.8 nm in air) from a Helium-Neon laser is incident on a single slit of width 0.05 mm. The entire apparatus is immersed in water of refractive index 1.333. Determine the angular width of the central peak.
In an experiment, green light with wavelength 520 nm, sent through a pair of slits 32.5 µm apart, produces bright fringes 1.92 cm apart on a screen 1.20 m away. If the apparatus is now submerged in a tank containing a sugar solution with index of refraction 1.38, calculate the fringe separation for this same arrangement.
green light with wavelength 560 nm, sent through a pair of slits 30.0 μm apart, produces bright fringes 2.24 cm apart on a screen 1.20 m away. If the apparatus is now submerged in a tank containing a sugar solution with index of refraction 1.38, calculate the fringe separation for this same arrangement.
White light is incident normally on a glass lens (n=1.52) that is coated with a film of MgF2 (n=1.38). For what minimum thickness of the film will the reflections at the two interfaces result in total destructive interference of yellow light of wavelength 580 nm (in air)?
White light is incident normally on a glass lens (n=1.52) that is coated with a film of MgF2(n=1.38). For what minimum thickness of the film will the reflections at the two interfacesresult in total destructive interference of yellow light of wavelength 580 nm (in air)?
Two flat plates of glass with parallel faces are on a table, one plate on the other. Each plate is 11.0 cm long and has a refractive index of 1.55. A very thin sheet of metal foil is inserted under the end of the upper plate to raise it slightly at that end. When you view the glass plates from above with reflected white light, you observe that, at 1.15 mm from the line where the sheets are in contact, the violet light of wavelength 400.0 nm is enhanced in this reflected light, but no visible light is enhanced closer to the line of contact. (a) How far from the line of contact will green light (of wavelength 550.0 nm) and orange light (of wavelength 600.0 nm) first be enhanced? (b) How far from the line of contact will the violet, green, and orange light again be enhanced in the reflected light? (c) How thick is the metal foil holding the ends of the plates apart?
In an experiment, green light with wavelength 543 nm, sent through a pair of slits 35.0 μm apart, produces bright fringes 1.86 cm apart on a screen 1.20 m away. If the apparatus is now submerged in a tank containing a sugar solution with an index of refraction of 1.38, calculate the fringe separation (in cm) for this same arrangement.
Given solution A&B A) What is the longest wavelength of light that will experience constructive interference when viewed from directly above if the layer of mineral oil is 120 nm thick? a) 240 nm b) 350 nm c) 480 nm d) 640 nm e) 700 nm B) If the layer of mineral oil stretches out and becomes thinner as it does so the above answer: a) increases b) decreases c) remains the same
Monochromatic light of wavelength l = 620 nm from a distant source passes through a slit 0.450 mm wide. The diffraction pattern is observed on a screen 3.00 m from the slit. In terms of the intensity I0 at the peak of the central maximum, what is the intensity of the light at the screen the following distances from the center of the central maximum: (a) 1.00 mm; (b) 3.00 mm; (c) 5.00 mm?
Sunlight incident on a screen containing two long narrow slits 0.20 mm apart casts a pattern on a white sheet of paper 1.5 m beyond. What is the distance separating the violet (λ0 = 400 nm) in the first-order band from the red (λ0 = 600 nm) in the second-order band?
Light from a coherent monochromatic light source with a wavelength of 5.50 ✕ 102 nm is incident on (and perpendicular to) a pair of slits separated by 0.270 mm. An interference pattern is formed on a screen 1.70 m from the slits. Find the distance (in mm) between the first and second dark fringes of the interference pattern. 3.76 not correct answer