12 Figure 35-29 shows the transmission of light through a thin filmin air by a perpendicular beam (tilted in the figure for clarity). (a) Didray r, undergo a phase shift due to reflection? (b) In wavelengths,what is the reflection phase shift for ray r,? (c) If the film thickness isL, what is the path length difference between rays r, and r?T4IncidentlightFigure 35-29 Question 12.

Answered: Image /qna-images/answer/ac6ea8c2-026d-4e03-bc32-7a7634b70c18.jpg

Answered: 12 Figure 35-29 shows the transmission…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter27: Wave Optics

Section: Chapter Questions

Problem 80PE: Figure 27.34 shows two 7.50-cm-long glass slides illuminated by pure 589-nm wavelength light...

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An oil slick on water is 120 nm thick and illuminated by white light incident perpendicular to its surface. What color does the oil appear (what is the most constructively reflected wavelength), given its index of refraction is 1.40?
What is the spacing between structures in a feather that acts as a reflection grating, given that they produce a first-order maximum for 525-nm light at a 30.0° angle?
Prove that, if I is the intensity of light transmitted by two polarizing filters with axes at an angle and I is the intensity when the axes are at an angle 90.0, then I+I=I0, the original intensity. (Hint: Use the trigonometric identities cos(90.0)=sin and cos2+sin2=1 .)
What is the maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light?
A He—Ne laser beam is reflected from the surface of a CD onto a wall. The brightest spot is the reflected beam at an angle equal to the angle of incidence. However, fringes are also observed. If the wall is 1.50 m from the CD, and the first fringe is 0.600 m from the central maximum, what is the spacing of grooves on the CD?
Many cells are transparent anti colorless. Structures of great interest in biology and medicine can be practically invisible to ordinary microscopy. To indicate the size and shape of cell structures, an interference micro-scope reveals a difference in index of refraction as a shift in interference fringes. The idea is exemplified in the following problem. An air wedge is formed between two glass plates in contact along one edge and slightly separated at the opposite edge as in Figure P37.37. When the plates are illuminated with monochromatic light from above, the reflected light has 85 dark fringes. Calculate the number of dark fringes that appear if water (n = 1.33) replaces the air between the plates.
Figure 27.34 shows two glass slides illuminated by pure-wavelength light incident perpendicularly. The top slide touches the bottom slide at one end and rests on a 0.100-mm-diameter hair at the other end, forming a wedge of air. (a) How far apart are the dark bands, if the slides are 7.50 cm long and 589-nm light is used? (b) Is there any difference if the slides are made from crown or flint glass? Explain.
Calculate the minimum thickness of an oil slick on water that appears blue when illuminated by white light perpendicular to its surface. Take the blue wavelength to be 470 nm and the index of refraction of oil to be 1.40.
Sunlight is incident on a diffraction grating that has 2 750 lines/cm. The second-order spectrum over the visible range (400.700. nm) is to be limited to 1.75 cm along a screen that is a distance L From the grating. What is the requited value of L?
White light is incident on a diffraction grating with 475 lines/mm. (a) Calculate the angle r2 to the second-order maximum for a wavelength of 675 nm. (b) Calculate the wavelength of light with a third-order maximum at the same angle r2.
Figure 27.34 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?
A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00 cm thick flat piece of crown glass and back to air again. The beam strikes at a 30.0° incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?

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