A screen is placed 1.50 m behind a single slit. The central maximum in the resulting diffraction pattern on the screen is 1.50 cm wide-that is, the two first- order diffraction minima are separated by 1.50 cm. Part A What is the distance between the two second-order minima? Express your answer to three significant figures.
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- Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?Ten narrow slits are equally spaced 0.25 mm apart and illuminated with yellow light of wavelength 580 nm. (a) What are the angular positions of the third and fourth principal maxima? (b) What is the separation of these maxima on a screen 2.0 m from the slits?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?
- Hi please help: A screen is placed 2.00 m behind a single slit. The central maximum in the resulting diffraction pattern on the screen is 1.80 cm wide-that is, the two first-order diffraction minima are separated by 1.80 cm. What is the distance between the two second-order minima? Express your answer to three significant figures.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 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 level
- a. What would happen if the top ray is a full wavelength longer than the ray from the bottom of the slit? Hint: Draw a triangle such that the slit width (a) is the hypotenuse and the top side is 1 lambda long. b. What would happen if it was a half wavelength longer than the ray from the bottom of the slit? c. Can you come up with a general formula for the location of minima and maxima for the single slit diffraction pattern? d. Predict what the pattern would look like if the light was shown through a rectangular or circular aperture instead of being shown through a long thin slit.For an aperture of width 1mm and using light of wavelength of 633 nm, estimate the distance from the aperture at which the Faunhofer approximation would be appropriate. a. Under the Fraunhofer condition, what would be the angle of the first minimum? b. If the screen is 1m away, how far from the central maximum would the first minimum be located?In a Young's double-slit experiment, 550-nm-wavelength light is sent through the slits. The intensity at an angle of 2.00⁰ from the central bright fringe is 84% of the maximum intensity on the screen. What is the spacing between the slits? 1.18e-6 x Your response differs from the correct answer by more than 10%. Double check your calculations. m
- Michelson's interferometer played an important role in improving our understanding of light, and it has many practical uses today. For example, it may be used to measure distances precisely. Suppose the mirror labeled 1 in the figure below is movable. If the laser light has a wavelength of 654.0 nm, how many fringes will pass across the detector if mirror 1 is moved just 1.960 (mm)? If you can easily detect the passage of just one fringe, how accurately can you measure the displacement of the mirror(nm)?In a Young's double-slit experiment, a set of parallel slits with a separation of 0.130 mm is illuminated by light having a wavelength of 550 nm and the interference pattern observed on a screen 3.50 m from the slits. (a) What is the difference in path lengths from the two slits to the location of a fifth order bright fringe on the screen? 1.1 Your response differs from the correct answer by more than 10%. Double check your calculations. um (b) What is the difference in path lengths from the two slits to the location of the fifth dark fringe on the screen, away from the center of the pattern? X umFor a given wavelength X, what is the minimum slit width for which there will be no diffraction minima? Express your answer in terms of X. Π| ΑΣΦ D = Submit Part B D = Request Answer ☐ What is the minimum slit width so that no visible light exhibits a diffraction minimum? The range of visible light is from 400 nm to 750 nm. Express your answer to two significant figures and include the appropriate units. µÅ Value ***** Units ? ?