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PHYSICS 370
Spring 12-Week Term, 1999 Text: Fundamentals of Optics by F. R. Jenkins and H. E. White Probable Schedule Jan. 11-15 Chapters 1, 2, 3 Jan. 20-22 Chapters 4, 5 Jan. 25-29 Chapters 6, 7, 8 Feb. 1-4 Chapters 9, 10 Feb.. 5 (Friday) First Test (Chapters 1-10) Feb. 8-12 Chapters 11, 12, 13 Feb. 15-19 Chapters 13, 14, 15 Feb. 22-26 Chapters 15, 16, 17 March 1-4 Chapters 18, 20 (Omit Chap. 19.) March 5 (Friday) Second Test (Chapters 11-20) March 15-19 Chapters 22, 23, 24 (Omit Chap. 21.) March 22-26 Chapters 24, 26 (Omit Chap. 25.) March 29-April 2 Chapters 27, 30 (Omit Chapters. 28, 29.) April 5-9 Chapters 30, 31 April 14 Final Exam, Wednesday, 1:00-3:00 p.m. (Entire course with emphasis on Chapters. 22-31, omitting 25, 28, 29.)
Experiments and Report Due Dates for Physics 370 Spring 12-week term, 1999
Experiments: 1, 2, 3 (Use laser for 1 and 2, incandescent light source for 3.)
Due date for one report on the above three experiments: Wednesday, February 10
Experiments: 4, 5, 6, 8
Due date for one report on the above four experiments: Wednesday, March 17
Experiments: 10, 12, 13
Due date for one report on the above three experiments: Friday, April 9
PROBLEM ASSIGNMENTS Chap. Problems (For prblems with * see next pages for corrections or changes.) 1 1, 2, 9, 13, *20, 24 (a, b, c only) 2 3, 4, 6, 8, 13 3 1, 5, 9, 11, 13, 18 4 1, 7, *8, *11, 14, 15 5 5, 9 6 *1, *5, 9 7 *1, *2, 5 8 1 9 *1, 4, *11, 21 10 *2 (a, b, c, d only), 6, *10 11 *2, *3 12 *1, *4, 11, 14, *16 13 2, 8 14 *1, *3, 6, *8 15 1, 9, 10, 12 16 1, 4 (b, c only), 5, *9 17 *4,*7 18 *1, *4 20 1, 7, *12 22 1, *2, 7 23 1, 3, *7 24 2 (a) and (b) only 26 *3, *6 27 *2, 4, *9 30 4, 6, 8, 9, *12 31 *1, 3
Problem set due dates: Wed., Jan. 20 Chapters 1, 2, 3 Mon., Jan. 25 Chapters 4, 5 Mon., Feb. 1 Chapters 6, 7, 8 Fri., Feb. 5 Chapters 9, 10 (Earlier if you wish comments before the test.) Mon, Feb.15 Chapters 11, 12 Mon., Feb. 22 Chapters 13, 14 Mon., March 1 Chapters 15, 16, 17 Fri., March 5 Chapters 18, 20 (Earlier if you wish comments before the test.) Mon., March 22 Chapters 22, 23 Mon., March 29 Chapters 24, 26 Mon., April 5 Chapter 27 Mon., April 12 Chapters 30, 31 (Earlier if you wish comments before the final.) Corrections or Clarifications Whenever a problem asks for the use of a diagram (parallel ray, marginal and chief ray, graphical method, graph, etc.) graph paper must be used. When a problem asks you to find a quantity graphically (or from a diagram), it is necessary to use a ruler along with a compass and protractor when needed and to carefully and accurately draw the diagram and then obtain a value from a measurement. The value is to be obtained independently from any calculation (as though your had never made a calculation and so have no idea what the value is until you measure it on the diagram). These comments apply whether the quantity to be found is a distance or an angle. Problem Comment 1.20 For part (a), find the dispersive index (the dispersion constant is the dispersive index). 4.8 For part (c), find the second image with a parallel-ray diagram drawn to scale. That is, use a parallel ray diagram to find as accurately as possible the numeric value for the location of the image. 4.11 Note that a projector always produces an inverted image of an object. 6.1 Answer correction: (d) +infinity 6.5 Answer correction: (c) -5.14 cm 7.1 The ray from L to QN in FIGURE P7.1 is wrong. The ray from Q to L should extend to the center line of the lens and then go to QN. "Locate Graphically" means getting numerical values from measurements on the diagram you have drawn 7.2 For part c), the wording should be, "Locate the image graphically...." Also, as was done for 1 (c), obtain numerical results from the diagram for yN and sN. 9.1 Answer correction: (b) -.751 (Do not use Lat. SA = shLs) 9.11 The wording should be, "A thin lens with a 5.0 cm radius has...." 10.2 See Fig. 10J(b), not 10H(b). Hint: Gaussian and power formulas are on p. 84. Review section 5.10, pp. 91-93. 10.10 Answer corrections: (a) -34.0 (b) -0.3676 (d) -16.70o 11.2 For those parts where an equation for the motion is needed, use y = a sin (ωt + φ). Arguments for the sin function should be expressed in radians. (g) Use graph paper for the graph. (i) Use numbers for the constants in the equation. 11.3 Assume the unit used for any length is cm. 12.1 Answer correction: (b) -72.4o 12.4 Use standard analytical (component) method. Do not use graphical method. Answer correction: a) 26.7 cm b) 40.0o 12.16 Change wording
for last two sentences to, "Find the equation for the resultant path (see
eq. 12v) written with no trig functions and only integers. Note that 14.1 Answer correction: a) m = 140 b) 6.79o, 11.8o, 15.3o, and 18.1o Hint: The angle to be found is the angle outside the film. 14.3 Obtain an answer for each of the two rings specified. The answers should be the same. 14.8 If your text book has a second part (b) in the problem statement, omit it. The hydrogen alpha line is 6562.82 Angstroms. 16.9 Read the paragraph at the top of page 349 very carefully. Equation 16k does NOT apply to this problem. 17.4 Do not make any small angle approximations for this problem. 17.7 Replace the wording up to the word "for" with, "Calculate (a) the angular dispersion in degrees per angstrom and (b) the plate factor in angstroms per millimeter." 18.1 Answer correction: a) 10.10 cm b) 3.37 cm 18.4 The v specified in part (b) is the mid point of the Δv calculated for part (a). The Δv of 0.1 stated in part (b) is the increment you should use to change v for purposes of the graph. 20.12 Solve part b) first using the relativistic expression, KE = mc2 - moc2, to get beta. Then solve part a). 22.2 Note that part b) must be solved before an answer can be obtained for part a). 23.7 Note table heading for unit of dispersion. 26.3 The parenthetical note should read "see Table 26A and equation in Sec. 26.3." 26.6 The first sentence should read "...biaxial crystal can be found from Eq. (26h)." 27.2 Take the quartz plate thickness to be .850000 mm and the wavelength to be 5460.72 Angstroms. The answer to part b) must be given as a value between 0 and 360 degrees. 27.9 Assume the light is coming toward you, and right circular polarization means clockwise. See Sec. 27.5. Carefully explain all parts of your diagram of part a) and carefully and fully explain how you arrived at your answer to part b). Add part c) Explain by using words and your diagrams why turning the fast axis 45o counter clockwise would indicate the other type of circular polarization from the one you have determined. 30.12 Change the value of lambda from 1.6 μm to 10.6 μm.
(a) 0.790 mm (b) 0.040 mm
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involves only an integer.) Get this equation into its simplest form (i.e., all
integers should be the lowest value possible, and there should be as few as
possible of them.) Plot the path by choosing values for t and using the given
equations for y and z (see Fig. 12L). Note that your graph, as in this figure,
should have y as the vertical axis and z as the horizontal axis. Be sure the
scales on the two axes are the same. Verify at least two points on this
path...."