When salt is sprinkled on a flame, yellow light consisting of two closely space wavelengths 11=588.997 nm and A2=589.594 nm are produced (they were observed by Fraunhofer in the Sun's spectrum). a) If this light falls on a diffraction grating with 300 lines/mm (pay attention to the units!), what is the angle between the 2nd order spectra of these two wavelengths? b) How many lines N of this grating must be illuminated for these lines to just be resolved?
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- A third-order diffraction maximum is observed when a 0.862 Å X-ray beam is diffracted by the planes (111) of a copper crystal. The incident and diffracted beams form angles of 38.26° with the planes. Find the distance between adjacent (111) planes.The hydrogen spectrum includes a red line at 656 nm and a blue-violet line at 434 nm. What are the angular separations between these two spectral lines for all visible orders obtained with a diffraction grating that has 4 740 grooves/cm? (In this problem assume that the light is incident normally on the gratings.) first order separation second order separation third order separation O O OPotassium iodide (KI) has the same crystalline structure as NaCl, with atomic planes separated by 0.353 nm. A monochromatic x-ray beam shows a first-order diffraction maximum when the grazing angle is 8.60°. Calculate the x-ray wavelength. nm
- An X-ray beam of wavelength 2.3 × 10-10 m makes an angle of 35° with a set of planes in a crystal which results in first order constructive interference. Determine the plane spacing in nanometers. (Please include 2 decimal places).An X-ray beam of wavelength 8.9 × 10-10 m makes an angle of 29° with a set of planes in a crystal which results in first order constructive interference. Determine the plane spacing in nanometers. (Please include 2 decimal places).You 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) mm
- The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4172 lines/cm? (Assume that the light is incident normally on the grating.) first order separation ° second order separation ° third order separation °X-rays of wavelength 0.200 nm are reflected from a certain crystal, and the first-order maximum occurs at an angle of 14.6°. What value does this give for the interplanar spacing of the crystal? answer in nmAn X-ray beam of wavelength 3.4 × 10-10 m makes an angle of 33° with a set of planes in a crystal which results in first order constructive interference. Determine the plane spacing in nanometers. (Please include 2 decimal places).
- X-rays of wavelength 0.130 nm are reflected from a certain crystal, and the first-order maximum occurs at an angle of 14.2°. What value does this give for the interplanar spacing of the crystal? ____nmThe hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4014 lines/cm? (Assume that the light is incident normally on the grating.) first order separation ° second order separation ° third order separation °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?