COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 23, Problem 13QAP
To determine
The example of thin-film interference.
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When two sine waves are overlay • Where the two waves can be represented by the two
equations :
E2 = E,Sin (kx – wt) and E, = E,Sin (kx – wt – 8)
%3D
Prove that the net strength of the resulting interference wave is four times the optical intensity
of one of the two waves when constructive interference occurs and is zero when there is
destructive interference.
4) The distance between the first and fifth minima of a single-slit diffraction pattern is
0.35 mm with the screen 40 cm away from the slit, when light of wavelength 550 nm is used.
Problem 4: Suppose a double-slit interference pattern has its third minimum at an angle of 0.258° with slits that are separated by 319
um.
Randomized Variables
0 = 0.258°
d = 319 µm
> A Calcula the wavelength of the light in nm.
Gr
De-
Chapter 23 Solutions
COLLEGE PHYSICS
Ch. 23 - Prob. 1QAPCh. 23 - Prob. 2QAPCh. 23 - Prob. 3QAPCh. 23 - Prob. 4QAPCh. 23 - Prob. 5QAPCh. 23 - Prob. 6QAPCh. 23 - Prob. 7QAPCh. 23 - Prob. 8QAPCh. 23 - Prob. 9QAPCh. 23 - Prob. 10QAP
Ch. 23 - Prob. 11QAPCh. 23 - Prob. 12QAPCh. 23 - Prob. 13QAPCh. 23 - Prob. 14QAPCh. 23 - Prob. 15QAPCh. 23 - Prob. 16QAPCh. 23 - Prob. 17QAPCh. 23 - Prob. 18QAPCh. 23 - Prob. 19QAPCh. 23 - Prob. 20QAPCh. 23 - Prob. 21QAPCh. 23 - Prob. 22QAPCh. 23 - Prob. 23QAPCh. 23 - Prob. 24QAPCh. 23 - Prob. 25QAPCh. 23 - Prob. 26QAPCh. 23 - Prob. 27QAPCh. 23 - Prob. 28QAPCh. 23 - Prob. 29QAPCh. 23 - Prob. 30QAPCh. 23 - Prob. 31QAPCh. 23 - Prob. 32QAPCh. 23 - Prob. 33QAPCh. 23 - Prob. 34QAPCh. 23 - Prob. 35QAPCh. 23 - Prob. 36QAPCh. 23 - Prob. 37QAPCh. 23 - Prob. 38QAPCh. 23 - Prob. 39QAPCh. 23 - Prob. 40QAPCh. 23 - Prob. 41QAPCh. 23 - Prob. 42QAPCh. 23 - Prob. 43QAPCh. 23 - Prob. 44QAPCh. 23 - Prob. 45QAPCh. 23 - Prob. 46QAPCh. 23 - Prob. 47QAPCh. 23 - Prob. 48QAPCh. 23 - Prob. 49QAPCh. 23 - Prob. 50QAPCh. 23 - Prob. 51QAPCh. 23 - Prob. 52QAPCh. 23 - Prob. 53QAPCh. 23 - Prob. 54QAPCh. 23 - Prob. 55QAPCh. 23 - Prob. 56QAPCh. 23 - Prob. 57QAPCh. 23 - Prob. 58QAPCh. 23 - Prob. 59QAPCh. 23 - Prob. 60QAPCh. 23 - Prob. 61QAPCh. 23 - Prob. 62QAPCh. 23 - Prob. 63QAPCh. 23 - Prob. 64QAPCh. 23 - Prob. 65QAPCh. 23 - Prob. 66QAPCh. 23 - Prob. 67QAPCh. 23 - Prob. 68QAPCh. 23 - Prob. 69QAPCh. 23 - Prob. 70QAPCh. 23 - Prob. 71QAPCh. 23 - Prob. 72QAPCh. 23 - Prob. 73QAPCh. 23 - Prob. 74QAPCh. 23 - Prob. 75QAPCh. 23 - Prob. 76QAPCh. 23 - Prob. 77QAPCh. 23 - Prob. 78QAPCh. 23 - Prob. 79QAPCh. 23 - Prob. 80QAPCh. 23 - Prob. 81QAPCh. 23 - Prob. 82QAPCh. 23 - Prob. 83QAPCh. 23 - Prob. 84QAPCh. 23 - Prob. 85QAPCh. 23 - Prob. 86QAPCh. 23 - Prob. 87QAPCh. 23 - Prob. 88QAPCh. 23 - Prob. 89QAPCh. 23 - Prob. 90QAPCh. 23 - Prob. 91QAPCh. 23 - Prob. 92QAPCh. 23 - Prob. 93QAPCh. 23 - Prob. 94QAPCh. 23 - Prob. 95QAPCh. 23 - Prob. 96QAPCh. 23 - Prob. 97QAPCh. 23 - Prob. 98QAPCh. 23 - Prob. 99QAPCh. 23 - Prob. 100QAPCh. 23 - Prob. 101QAPCh. 23 - Prob. 102QAPCh. 23 - Prob. 103QAPCh. 23 - Prob. 104QAPCh. 23 - Prob. 105QAPCh. 23 - Prob. 106QAPCh. 23 - Prob. 107QAPCh. 23 - Prob. 108QAPCh. 23 - Prob. 109QAPCh. 23 - Prob. 110QAPCh. 23 - Prob. 111QAPCh. 23 - Prob. 112QAPCh. 23 - Prob. 113QAPCh. 23 - Prob. 114QAP
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- 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.arrow_forwardA high-quality diamond may be quite clear and colorless, transmitting all visible wavelengths with little absorption. Explain how it can sparkle with flashes of brilliant color when illuminated by white light.arrow_forward4) Find the minimum angular separation resolvable with 633-nm laser light passing through a circular aperture of diameter 2.1 cm.arrow_forward
- 10 Figure 35-27a shows the cross section of a vertical thin film whose width increases downward because gravitation causes slumping. Figure e 35-27b is a face-on view of the film, a showing four bright (red) interfer- ence fringes that result when the (a) film is illuminated with a perpendi- cular beam of red light. Points in the cross section corresponding to the bright fringes are labeled. In terms of the wavelength of the light inside the film, what is the difference in film thickness between (a) points a and b and (b) points b and d? (6) Figure 35-27 Question 10.arrow_forwardUnreasonable Results(a) What visible wavelength has its fourth-order maximum at an angle of 25.0O when projected on a 25,000-line-per-centimeter diffraction grating? (b)What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forward(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 5.62 µm. At what angle does it produce its second minimum?° (b) What is the highest-order minimum produced?arrow_forward
- -75 SSM ILW Figure 35-46a shows a lens with radius of curvature R lying on a flat glass plate and illu- minated from above by light with wavelength A. Figure 35-46b (a photograph taken from above the lens) shows that circular in- terference fringes (known as Newton's rings) appear, associ- Incident light ated with the variable thickness d of the air film between the lens Glass Air and the plate. Find the radii r of the interference maxima assum- ing r/R < 1. Glass (a) Figure 35-46 Problems 75-77. (b) Courtesy Bausch & Lombarrow_forwarddsin ø = n dsin o (m + ) A %3D youngs double Slit Sin Øs Ton@= Ø yon 3rd dare Fringe Y 3 d. = 0. 02m Find +he distonce and B d= 0.00 0 6m Isit seperaticen} wwww. mu.arrow_forward4-array with 8-elements and distance between elements is /2, the phase shift between elements is Tt. the maximum beam pattern Occurs at * O 90 degrees O 180 degrees O 270 degrees 0 degreesarrow_forward
- -)か A sing ce wavelength be am of light of a double- sli+ Is incident perpendencularly arrangement. This distan ce H is tound that the on a be twe en the slit is 5.0 um . tirst diffraction mini mum eliminate' lis coincident with) the Or der maximum of double slit inteference the pattern. Cal culate the width of the slitsarrow_forwarda) In one of the arms of a Michelson interferometer a thin film of n= 1.4 is placed perpendicularly to the optical path. If this causes a shift of 7 bright fringes of the pattern by a light of wavelength 589nm, what is the thickness of the film? on a -- TAA dīsta screen? What if th lamns were Pom- Closearrow_forwardNeeds Complete typed solution with 100 % accuracy.arrow_forward
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