Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 14.1, Problem 1bT
For what values of the path length difference (written in terms of () will there be:
• maximum constructive interference (i.e., a maximum)?
• complete destructive interference (i.e., a minimum)?
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Chapter 14 Solutions
Tutorials in Introductory Physics
Ch. 14.1 - In the magnified view of the slits, an arrow is...Ch. 14.1 - For what values of the path length difference...Ch. 14.1 - Suppose that a single change were made to the...Ch. 14.1 - Prob. 2aTCh. 14.1 - Prob. 2bTCh. 14.1 - Prob. 2cTCh. 14.1 - Use trigonometry to show that the path length...Ch. 14.1 - Prob. 3bTCh. 14.2 - How does the voltmeter reading compare to the...Ch. 14.2 - Prob. 1bT
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- Explain in great detail, the two point source interference pattern and provide a diagram to further convey the concept.arrow_forwardWhat minnimum frequency will produce maximum destructive interference at your location? What minimum frequency will produce maximum constructive interference at your location?arrow_forwarduppose we were looking at the image of a tiled floor made up alternately of black and white squares aligned with their edges parallel to the x- and y-directions. If the floor were infinite in extent, the mathematical distribution of reflected light could be regarded in terms of a two-dimensional Fourier series. With each tile having a length l, the spatial period along either axis would be 2l, and the associated fundamental angular spatial frequencies would equal pi/l. These and their harmonics would certainly be needed to construct a functiondescribing the scene. Calculate the Fourier transform (FT) of the 2-dimensional square function for this tiled floor.arrow_forward
- Describe why constructive interference happens when the path length difference is an integer multiple of the wavelength.arrow_forwardWrite down an expression for mth brightest interference fringe in a double slit experiment in terms of the distance between the slits d, the distance from the slits to the screen D, the wavelength of light and position x of the fringe away from the middle of the screen. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. For please type lambda (e.g. for A*x type lambda*x). Please use the "Display response" button to check you entered the answer you expect. Answer: Display responsearrow_forwardSolve the following, if the radio wave transmitted at an angle of incidence 68 degrees, with a wavelength of 6mm.I. Find the critical density II. Find Maximum usable frequency if Nmax = 2xN Criticalarrow_forward
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- why is the spacing between the interferometer fringes are equally spaced with the triangular wave? Need detail and step by step answer|arrow_forwardConsider two point sources of light separated by distance d and located symmetrically about the orgin as shown in the figure (not to scale). The two sources create waves which interfere (x, y) on an observation screen. Consider a point on the observation screen with coordinates (x, y). To determine the type of interference (constructive, destructive, or partial) we need to calculate the path length difference. To simplify calculations, we often use the interference approximation. We thus have two expressions for the path length difference: Arexact = r2 –rị , Arapprox = d sin 0 How good is the interference approximation? Let us investigate this questions in two different cases. a) Suppose d = 1 and (x, y) = (3,2). All numbers are in SI units. Calculate Arexact, Arapprox, and the percent difference between them. b) Suppose d = 1 and (x, y) = (30,20). All numbers are in SI units. Calculate Arexact, Arapprox, and the percent difference between them.arrow_forwardUse the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO3) is 0.313 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0709 nm. 0₁ 02 Oarrow_forward
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