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What is the displacement between two bright spots in a diffraction pattern if S = 4.5 m, a = 0.5 mm, and λ = 450 nm?
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- Two 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?Write 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 width d, the distance from the slit to the screen D and the wavelength of light X. Consider D>> d. Please use "*" (without the quotes) for products (e.g. 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 responseWrite 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 width d, the distance from the slit to the screen D and the wavelength of light λ. Consider D>> d. Please use "*" (without the quotes) for products (e.g. 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 response 9 Finis
- Write 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 responseair 1. n = 1 [a] The figure shows a soap film of thickness dį in air. Light impinges on the film with an angle of incidence 01 and is reflected and refracted at the interfaces. Rays 1 and 2 represents reflected light, while rays 3 and 4 represent light that has been transmitted into the glass. soap \[c] n, = 1.33 |d [b] air n= 1 3 4 The bracketed letters (a], [b], and [c] indicate reflections at the air-soap, and soap-air interfaces. For which of these reflections does a phase change of n occur? Check all that apply. [a] [b] O (c)A beam of monochromatic light with a wavelength of 500 nm is directed through an absorber having 5 equally narrow slits separated by 20 um between adjacent slits. The resulting diffraction pattern is observed on a screen that is perpendicular to the direction of light and 5 m from the slits. The intensity of the central maximum is 1.3 W/m2. Calculate the distances from the central maximum to the first and second principal maxima respectively. on the screen A. 8 cm and 25 cm B. 8 cm and 12 cm C. 12.5 cm and 25 cm D. 25 cm and 9.2 cm E. 9.2 cm and 23 cm
- A beam of monochromatic light is incident on a single slit of width 0.630 mm. A diffraction pattern forms on a wall 1.35 m beyond the slit. The distance between the positions of zero intensity on both sides of the central maximum is 2.10 mm. Calculate the wavelength of the light. .049 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. nmThe thickness of a human hair was measured using diffraction. A green laser (λ = 532 nm) was used and the viewing screen was placed 1 m away from the slit plate. The table below shows the data gathered for m = ±1. Trial 2y (cm) 1 2.09 2 2.03 3 2.01 2.05 5 2.07 a. How is the wave nature of light demonstrated in the experiment? b. How do you calculate 0? Explain. C. How thick is the human hair strand used in the experiment? 45 4A. Find the angle (in degrees) of the second diffraction minimum for 750 nm light falling on a slit of width 28.0 µm. B.What slit width (in µm) would place this minimum at 80.0°?
- Superposition of waves shows interference pattern. Monochromatic light (light wave of a particular frequency) falls on double-slit 0.017-mm apart produces the 5th-order bright fringe at an 13.1° angle. Find the wavelength of the light used. The wavelength, λ = Unit nm If the distance of the viewing screen is 4 m away from the slit, how far this fringe will form on the screen from its center? The distance to the fringe, y5 = Unit cmFigure 1 shows the viewing screen in a double-slit experiment with monochromatic light. Fringe C is the central maximum. The fringe separation is Δy Suppose the wavelength of the light is 430 nm . How much farther is it from the dot on the screen in the center of fringe E to the left slit than it is from the dot to the right slit?When blue light of wavelength 470 nm falls on a single slit, the first dark bands on either side of center are separated by 51.0⁰. Determine the width of the slit. Express your answer to three significant figures and include the appropriate units. μA D= Value Units ?