A laser with wavelength d/8 is shining light on a double slit with slit separation 0.400 mm. This results in an interference pattern on a screen a distance L away from the slits. We wish to shine a second laser, with a different wavelength, through the same slits. What is the wavelength X2 of the second laser that would place its second maximum at the same location as the fourth minimum the first laser, if d = 0.400 mm ? Express your answer in millimeters. ► View Available Hint(s) IVE ΑΣΦ A₂.109 mm
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- A hydrogen gas discharge lamp is used as a coherent light source illuminating NN slits in a barrier with a slit separation of 28 μmμm. The interference pattern is projected on a screen 2.00 m from the barrier. The first-order principal maxima to one side of the central maximum. The number of slits is sufficiently large that the individual lines are sharp and widely separated. Note that there are four different colors appearing in the source, violet is the color closest to the central maximum. λ=656λ=656 nm (red) λ=486λ=486 nm (cyan) λ=434λ=434 nm (blue-violet) λ=410λ=410 nm (violet) The blue-violet line is thin and somewhat faint, and it may be difficult to see without enlarging the figure. When viewing multiple orders of the interference pattern, the color sequence may change due to the interleaving of the different orders. 1. Using the values given in the problem statement, what is the distance along the screen, in centimeters, from the the central maximum to the first line? 2.…A spacer is cut from a playing card of thickness 2.79 x 104 m and used to separate one end of two rectangular, optically flat, 2.80 cm long glass plates with n = 1.70, as in the figure below. Laser light at 543 nm shines straight down on the top plate. HINT Adjacent dark bands occur when the air gap thickness changes by half a wavelength. i Click the hint button again to remove this hint. (a) Count the number of phase reversals for the interfering waves. 1027 X (b) Calculate the separation (in m) between dark interference bands observed on the top plate. (No Response) mAs an admirer of Thomas Young, you perform a double-slit experiment in his honor. You set your slits 1.03 mm apart and position your screen 3.91 m from the slits. Although Young had to struggle to achieve a monochromatic light beam of sufficient intensity, you simply turn on a laser with a wavelength of 637 nm . How far on the screen are the first bright fringe and the second dark fringe from the central bright fringe? Express your answers in millimeters.
- Light of wavelength 588.2 nm illuminates a slit of width 0.63 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.86 mm from the central maximum? (b) Calculate the width of the central maximum. Step 1 (a) As shown in the figure, dark bands or minima occur where sin 0 = m(2/a). For the first minimum, m = 1 and the distance from the center of the central maximum to the first minimum is y₁ = L tan 8, where L is the distance of the viewing screen from the slit. 32 sin dark = 22/a 31 sin dark = λ/a HE 0 -1 sin dark = -λ/a -2 sin dark = -22/a Viewing screen a Because is very small, we can use the approximation tan sin 0 = m(2/a). Substituting the approximation and solving for the distance to the screen, we have 6.3 x 10 m ³ m ) (₁ L = = y ₁ ( ² ) = x 10-3 m x 10-⁹ m m.As an admirer of Thomas Young, you perform a double-slit experiment in his honor. You set your slits 1.15 mm apart and position your screen 3.55 m from the slits. Although Young had to struggle to achieve a monochromatic light beam of sufficient intensity, you simply turn on a laser with a wavelength of 637 nm. How far on the screen are the first bright fringe and the second dark fringe from the central bright fringe? Express your answers in millimeters. 2.05 first bright fringe: mm Incorrect 3.07 second dark fringe: mm IncorrectConsider a variety of colors of visible light (say 400 nm to 700 nm) falling onto a pair of slits. a) What is the smallest separation (in nanometers) between two slits that will produce a second-order maximum for some visible light? b) What is the smallest separation (in nanometers) between two slits that will produce a second-order maximum for all visible light?
- Problem 6: We use 633-nm light from a He-Ne laser to demonstrate Young's double-slit experiment. The interference pattern will be projected on a wall that is 5.0 m from the slits. We want the distance between the m=0 and m=1 maxima to be 25 cm. What slit separation is required to produce the desired interference pattern?You illuminate a slit with a width of 78.1 µm with a light of wavelength 729 nm and observe the resulting diffraction pattern on a screen that is situated 2.27 m from the slit. What is the width w, in centimeters, of the pattern's central maximum? W = cmA double slit is illuminated by a monochromatic light. An interference pattern is observed on a screen with fine lines grouped in broad bands (see diagram below). The second series of fringes is centered at a distance zo=2.7 mm from the center of the screen. The distance between slits and screen is D=2m, the slits width is d=0.07mm and the slit separation is 0.5mm. (a) What is the wavelength of the light? What color is it? Is the small angle approximation valid? (b) How many full fringes are observed in the second band? (do not count them on the schematic diagram!) Viewing screen Zo ន
- Light with wavelength A passes through a narrow slit of width w and is seen on a screen which is located at a distance D in front of the slit. The first minimum of the diffraction pattern is at distance d from the middle of the central maximum. Calculate the wavelength of light if D=2.3 m, d=1 mm and w = VAD. Give your answer in nanometers. Answer: Choose... +As an admirer of Thomas Young, you perform a double-slit experiment in his honor. You set your slits 1.15 mm apart and position your screen 3.53 m from the slits. Although Young had to struggle to achieve a monochromatic light beam of sufficient intensity, you simply turn on a laser with a wavelength of 641 nm . How far on the screen are the first bright fringe and the second dark fringe from the central bright fringe? Express your answers in millimeters. first bright fringe: mm second dark fringe:Need help with the question in the attached picture, please be detailed!