In a Young's double slit experiment, two wavelengths of 500 nm and 700 nm were used. What is the minimum distance from the central maximum where their maximas coincide again? Take D/d = 10³. Symbols have their usual meanings.
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- Homework 13, Problem 6Consider 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?You used a 632nm laser to diffract images onto a wall 2 meters away using two separate diffraction gratings; one with 100 lines per mm and the other 300 line per mm. Is there a theoretical limit to the number of orders observable with your diffraction gratings? If not, explain why. If so, determine the limits for your grating.
- An electric current through an unknown gas produces several distinct wavelengths of visible light. Consider the first order maxima for the wavelengths 403 nm, 428 nm, 511 nm, and 682 nm of this unknown spectrum, when projected with a diffraction grating of 5,000 lines per centimeter.Randomized Variablesλ1 = 403 nmλ2 = 428 nmλ3 = 511 nmλ4 = 682 nm Part (a) What would the angle (in degrees) be for the 403 nm line? Part (b) What would the angle (in degrees) be for the 428 nm line? Part (c) What would the angle (in degrees) be for the 511 nm line? Part (d) What would the angle (in degrees) be for the 682 nm line? Part (e) Using this grating, what would be the angle (in degrees) of the second-order maximum of the 403 nm line?The diffraction grating is a way of separating or dispersing light of different wavelengths, producing a spectrum of light. The grating interferes light constructively in particular directions: dsinθm=mλdsinθm=mλ For a particular angle, we calculate the wavelength. The grating constant (or line density) is 500 lines per mm -- every millimeter has 500 lines scratched onto it, equally spaced. The quantity d is the distance between the lines, and λ is the light wavelength. In the previous problem, calculate y2, where one of the second-order spots appears on the meter stick. Either that, or show that y2 can't be determined.The interplanar distance of (101) plane of ZnO crystal is 0.45 nm. If the first-order diffraction maximum is observed at an incidence angle of 36.2°, what is the wavelength of the X-ray scattering from this crystal? And estimate the crystallite size of the ZnO nanomaterial if FWHM of (101) plane is 2.51° (degree to radian Degree x T/180) and k = 0.9.
- 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 levelYou measure the distance between the finges of a diffraction pattern as follows: Distance (mm): 3.01, 3.27, 3.28 You measure the distance eight additional times to obtain the following ten values: Distance (mm): 3.01, 3.27, 3.28, 3.31, 3.16, 3.17, 3.15, 3.25, 3.18, 1.46 What values for the distance and uncertainty would you report using the first three measurements and the entire set of ten measurements? Group of answer choices First three: (3.22 ± 0.03) mm, All ten: (3.22 ± 0.02) mm First three: (3.19 ± 0.09) mm, All ten: (3.0 ± 0.2) mm First three: (3.186667 ± 0.07216237) mm, All ten: (3.201000 ± 0.02613236) mm First three: (3.216667 ± 0.02880329) mm, All ten: (3.216000 ± 0.02379916) mm First three: (3.240000 ± 0.04082483) mm, All ten: (3.217000 ± 0.02702036) mm First three: (3.24 ± 0.04) mm, All ten: (3.22 ± 0.03) mmChapter 35, Problem 019 Suppose that Young's experiment is performed with light of wavelength 497 nm. The slits are 1.74 mm apart, and the viewing screen is 4.51 m from the slits. How far apart are the bright fringes in meters? Number Units Use correct number of significant digits; the tolerance is +/-2%
- The beautiful colors of a blue morpho butterfly are known to be originated from nanoscale structures that function as a natural diffraction grating. Suppose the diffraction grating has 6000 lines/cm, what is the angle of the first-order maximum for 560-nm light? Provide the answer: degreeUsing Bragg’s law, calculate the diffraction angles (2θ) for all the peaks in thediffraction pattern of aluminum (Al) powders, given that Al has the FCC (facecentered cubic) crystal structure, and has an atomic radium of 0.143 nm. Please verify they are the first order diffraction patterns.Not sure how to approach this problem; could I just find the herze of the moving wave and use that to perform a young's double slit calcuation to start with?