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- What is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.arrow_forwardTwo slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?arrow_forwardPlease show formula and units For the figure shown below, let R = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500 nm light. The first bright fringe (m = 1) happens at point P. Calculate the phase difference (ϕ) between the two wave fronts arriving to point P in radians when: a) θ = 0.500⸰ b) y = 5.00 mm. The value of θ in part b is not the same as the value of θ from part a. However, you may assume that θ in part b is small.arrow_forward
- The light intensity vs. position graph of a double-slit experiment is shown below. The graph was made with helium-neon laser light of wavelength 630 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 path-length difference (from the two slits to the screen) when the probe is at position 9.0 mm, in nm? 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. Lasilian Position of probe (mm) Light levelarrow_forwardWrite down an expression for the width of the central bright line on a screen in the single slit diffraction experiment in terms of the diffraction slit (without the quotes) for products (e.g. width d, the distance from the slit to the screen D and the wavelength of light A. Consider D>> d. Please use "*" B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. For exponents (e.g. A²) use A*A or A^2 notation: thus A³/B should appear as either A*A*A/B or A^3/B. For greek letters use "theta" (without the quotes) and for trigonometric functions use "cos", "tan", "sin" (without the quotes). Thus for Acose use A* cos theta. Please use the "Display response" button to check you entered the answer you expect. Answer: Display responsearrow_forwardThe image below shows the intensity measured behind a double slit with a spacing d= 0.25 mm when light of wavelength A-400 nm shines through it. www 0 -6 T 1. Sketch the intensity that would be measured if the wavelength of the light is increased to A-600 nm with everything else remaining the same. 52 N 3 4 L 2. Sketch the intensity that would be measured if the slit spacing is increased to d= 0.5 mm with everything else remaining the same. O d = 0.25 mm 400 nm A 6 3 d-0.25 mm A-600 nm 6 d=0.50 mm A=400 mm (mm)arrow_forward
- Assume the figure below was photographed with red light of a single wavelength λ0. The light passed through a single slit of width a and traveled distance L to the screen where the photograph was made. Consider the width of the central bright fringe, measured between the centers of the dark fringes on both sides of it. Rank from largest to smallest the widths of the central fringe in the following situations and note any cases of equality. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (a) The experiment is performed as photographed.(b) The experiment is performed with light whose frequency is increased by 50%.(c) The experiment is performed with light whose wavelength is increased by 50%.(d) The experiment is performed with the original light and with a slit of width 2a.(e) The experiment is performed with the original light and slit and with distance 2L to the screen.arrow_forwardConsider the following relative intensity graph for a double-slit experiment. The wavelength of the light used was λ = 633 nm. 1 0.8 0.6 0.4 0.2 0 0 (radians) Determine the width of the slits and the distance between the slits. Clearly indicate which features of the graph you are using to make your determination. You may have already noticed that the maxima are (approximately) 0.01 radians apart. except that there are no maxima at 8 = 0.05 radians or = 0.10 radians. How can you account for these "missing" maxima? (Hint: Consider how the relative intensity graph would be different if the width of the slits were decreased.)arrow_forwardFollowing figure shows the positions of the first bright fringes B, and B, on either side of the central bright fringe O in Young's double slit experiment. Find the wavelength of monochromatic light used. Screen B, (M is the mid 1 mm M point of S,S,) B, -D=1m S.arrow_forward
- Consider a single slit that produces the first-order minimum at 14° when illuminated with monochromatic light. (include diagram) Part (a) At what angle, in degrees, is the second-order minimum? Part (b) What is the angle, in degrees, of the third-order minimum?arrow_forwardDerive 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.arrow_forwardLight 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.arrow_forward
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
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