Light of several wavelengths strikes a thin film of index 1.4. The thickness of the thin film is 320 nm and sits on a water, which has an index of refraction of 1.33. Which wavelength will produce the least reflected light: 440 nm or 580 nm? Include a diagram. Clearly outline the steps of your thought process.

Two light sources of identical strength are placed 10m apart. An object is to be placed at a point P on a line l, parallel to the line joining the light sources and at a distance d meters from it (see the figure). We want to locate P on, so that the intensity of illumination is minimized. We need to use the fact that the intensity of illumination for a single source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. a) Find an expression for the intensity l(x) at the point P. b) If d = 5m, use graphs of l(x) and l'(x) to show that the intensity is minimized when x = 5m, that is, when P is at the midpoint of l. c) If d = 10m, show that the intensity (perhaps surprisingly) is not minimized at the midpoint. d) Somewhere between d = 5m and d = 10m there is a transitional value of d at which the point of minimal illumination abruptly changes. Estimate this value of d by graphical methods. Then find the exact value…

X rays of wavelength 0.0820 nm are scattered from the atoms of a crystal. The second-order maximum in the Bragg reflection occurs when the angle is 20.5°. (Figure 1) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of X-ray diffraction. Part A What is the spacing between adjacent atomic planes in the crystal? Express your answer in nanometers. ΓΙ ΑΣΦ d = Submit Previous Answers Request Answer ? nm

A beam of unpolarized light of intensity 2.17E3 W/m2 passes through a series of ideal polarizing filters with their polarizing directions turned to various angles as shown in the figure.  What is the light intensity at point C (in W/m2)? Use 3 sig figs and scientific notation

A.) Polarized light is incident on 6 polarizing sheets. The axis of the first polarized sheet makes an angle 0 with the plane of polarization. Each subsequent sheet has an axis that is rotated by an angle e from that of adjacent sheets. Find e if 34% of the incident intensity is transmitted by the sheets. B.) Suppose you want to rotate the plane of polarization of a beam of polarized light by 78°, but you do not want the final intensity to be less than 53% of the initial intensity. What is the minimum number of polarizing sheets you must use? Assume that each sheet is rotated the same angle relative to the adjacent sheets. sheets

A beam of coherent orange light in air (nD = 1.00029) strikes a piece of glass with a refractive index of 1.52 at an angle 24° from normal. a) What will the angle of refraction be? b) If coherent blue light were used instead, would the angle of refraction be larger or smaller? Explain why.