Derive an equation or expression that describes the location of the intensity maxima on a screen resulting from coherent light passing through two thin slits with a definite width and distance between the centers of the slits. Define the symbols used in your derivation using either text or a diagram.
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- Prior to the switch to digital television broadcasting, and to the popularity of cable television, many homes had outdoor TV antennas. TV-reception antennas for VHF (channels 2 through 13) were constructed with cross wires supported at their centers, as shown in the figure below. The ideal length for the cross wires is one-half the wavelength to be received, with the more expensive antennas having one for each channel. Suppose you measure the lengths of the wires for channels 12 and 6 and find them to be 0.208 m and 0.958 m long, respectively. What is the frequency for channel 12?Hz What is the frequency for channel 6?HzThree polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 12.0 units (arbitrary). Calculate the transmitted intensity If when ?1 = 15.0°, ?2 = 39.0°, and ?3 = 59.0°. Hint: Make repeated use of Malus's law.If = unitsLight with a wavelength is 600 nm passes through a slit and makes the intensity pattern shown in the figure on a screen that is 2.5 m from the slit. Based on this pattern, is the aperture a single slit or a double slit? Explain. If the aperture is a single slit what is the width? If it is a double slit, what is the spacing between the slits.
- The ship in the figure below travels along a straight line parallel to the shore and a distance d = 700 m from it. The ship's radio receives simultaneous signals of the same frequency from antennas A and B, separated by a distance L = 810 m. The signals interfere constructively at point C, which is equidistant from A and B. The signal goes through the first minimum at point D, which is directly outward from the shore from point B. Determine the wavelength of the radio waves.Monochromatic light illuminates a single slit with a width of 3.0 microns and produces a first-order diffraction minima at 17.5 degrees. What is the wavelength of the light? Show the algebraic form of the equation(s) that you apply and report your answer with correct units and number of significant figures.Question 1: Solve the following question, showing all of your steps and equation used. Assume that you create two slits that are 0.02 mm apart, and you place a viewing screen 1 meter away. You shine a laser beam of wavelength A = 540 nm on the two slits. a. What is the angle of the brightest fringe? b. What is the angle of the first order interference fringe? c. What is the angle where you will see the third order bright fringe? How far above the center of the source do you expect to see this fringe?
- A beam of 604 nm light passes through two closely spaced glass plates, as shown in Figure. For what minimum nonzero value of the plate separation d is the transmitted light bright? State your answer in (nm) to the nearest 0.1 nm.Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 8, 15.0°, 0,= 45.0°, and 83=57.0°. Hint: Make repeated use of Malus's law. I₁ = units 4, 8₁The light intensity vs. position graph of a double-slit experiment is shown below. The graph was made with helium-neon laser light of wavelength 640 nm shined through two very narrow slits separated by a small distance. The slits were 2.0 meters away from the probe. What is the spacing between the two slits, in mm? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Light level allian Position of probe (mm)