Visible light is incident perpendicular to a grating with 430 rulings/mm. What is the longest wavelength that can be seen in the fourth-order (n = 4) diffraction pattern? Express your answer to the nearest nm.
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- 3. A Cu target emits an X-ray line of wavelength = 1.54 Å. a) Given that the Bragg angle for reflection from the (111) planes in Al is 19.2°, compute the interplanar distance for these planes. Recall that aluminum has an fcc structure. b) Knowing that the density and atomic weight of Al are, respectively, 2.7 g/cm3 and 27.0, compute the value of Avogadro's number.** 38. Two plastic plates (index of refraction n = 1.3) are separated by an air gap of 0.9 µm. Analyze the reflections of light of wavelength 600 nm and conclude whether it will be brightly reflected or not. 0.9 um gap ** 39. The air gap in the previous problem is now filled with a mineral oil whose index of refraction is n = 1.5. Analyze the reflections of light of wavelength 600 nm and conclude if it will be brightly reflected or not.Light waves, for which the electric field is given by Ey(x,t) =Emaxin|(2x107m-1)x-wt], pass through a slit and produce the first dark bands at ‡30• from the center of the diffraction pattern. What is the frequency of this light? How wide is the slit? At which positive angle will the next dark band occur?
- You measure three segments of the distance between a diffraction slit an the screen on which the pattern forms: x1 = (15.8 ± 0.2) cm, x2 = (6.7 ± 0.1) cm, and x3 = (11.3 ± 0.1). What is the uncertainty of the total distance x1 + x2 + x3? Group of answer choices 0.4 cm 0.5 cm 0.2 cm 0.3 cm 0.1 cmLight of wavelength 633 nm is incident normally on a diffraction grating. The second-order maximum of the diffraction pattern is observed at 49.0°. a. What is the number of rulings per centimeter for the grating? b. Find the angle for the first-order maximum.A nearly monochromatic beam of light with an average wavelength of 516 nm is incident normally on a diffraction grating 2.90 cm wide with 1300 lines/cm. What is the smallest wavelength difference (in nm) this grating can resolve in the second order diffraction with this beam?Type your answer here
- Three discrete spectral lines occur at angles of 10.5°, 13.6°, and 14.7°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3770 slits/cm, what are the wavelengths of the light? ?1 = nm (10.5°) ?2 = nm (13.6°) ?3 = nm (14.7°) (b) At what angles are these lines found in the second-order spectra? ? = ° (?1) ? = ° (?2) ? = ° (?3)Angel is experimenting with a diffraction grating of unknown spacing. He is looking to determine the wavelength of the light in the emission spectrum of a gas and finds that a light having a known wavelength of 623.1nm is deflected by 43.8 ° away from the central maximum in the second order by this grating. Light of the wavelength to be measured is deflected by 45.4° away from the central maximum in the second order. What is the wavelength of this light in nanometers? Please give your answer as a whole number.You are asked to design a spectrometer such that, on a screen located a distance of 3.52 m from a diffraction grating, the m = 3 dark fringe for 550 nm light is located at a distance of 5.1 cm from the (m = 0) center of the screen. How many lines per centimeter should your diffraction grating have?