(a) What is the spacing of the dark fringes in an interference pattern reflected from an air wedge between two microscope slides 10 cm long, separated at one end by a paper of thickness 0.10 mm, illuminated with red light of wavelength 660 nm? (b) How would the spacing change if the wedge were filled with water (refractive index = 1.33)?

(a) What is the spacing of the dark fringes in an interference pattern reflected from an air wedge between two microscope slides 10 cm long, separated at one end by a paper of thickness 0.10 mm, illuminated with red light of wavelength 660 nm? (b) How would the spacing change if the wedge were filled with water (refractive index = 1.33)?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 84AP: Into one arm of a Michelson interferometer, a plastic sheet of thickness 75 m is inserted, which...

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Figure 3.14 shows two 7.50-cm-long glass slides illuminated by pure 589-nm wavelength light incident perpendicularly. The top slide touches the bottom slide at one end and rests on some debris at the other end, forming a wedge of air. How thick is the debris, if the dark bands are 1.00 mm apart? Figure 3.14 (a) The rainbow-color bands are produced by thin-film interference in the air between the two glass slides. (b) Schematic of the paths taken by rays in the wedge of air between the slides. (c) If the air wedge is illuminated with monochromatic light, bright and dark bands are obtained rather than repeating rainbow colors.
A 5.08-cm-long rectangular glass chamber is inserted into one arm of a Michelson interferometer using a 633-nm light source. This chamber is initially filled with air (n=1.000293) at standard atmospheric pressure but the air is gradually pumped out using a vacuum pump until a near perfect vacuum is achieved. How many fringes are observed moving by during the transition?
A single slit of width 2100 nm is illuminated normally by a wave of wavelength 632.8 nm. Find the phase difference between waves from the top and one third from the bottom of the slit to a point on a screen at a horizontal distance of 2.0 m and vertical distance of 10.0 cm from the center.
Into one arm of a Michelson interferometer, a plastic sheet of thickness 75 m is inserted, which causes a shift in the interference pattern by 86 fringes. The light source has wavelength of 610 nm in air. What is the index of refraction of this plastic?
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