When monochromatic light is being used with a certain diffraction grating, it is found that the first- order maximum occurs at 8°. What is the highest order of maximum that can be observed? [2] Show the solution on the other side of the sheet!
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- Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?(a) Describe briefly how a diffraction pattern is obtained on a screen due to a single narrow slit illuminated by a monochromatic source of light. Hence obtain the conditions for the angular width of secondary maxima and secondary minima. (b) Two wavelengths of sodium light of 590 nm and 596 nm are used in turn to study the diffraction taking place at a single slit of aperture 2 × 10-6 m. The distance between the slit and the screen is 1.5 m. Calculate the separation between the positions of first maxima of the diffraction pattern obtained in the two cases.When salt is sprinkled on a flame, yellow light consisting of two closely space wavelengths 11=588.997 nm and 12=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?
- On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 33.30 relative to its surface, using an x-ray source of unknown wavelength. Additionally, when illuminated with a different x-ray, this time of known.wavelength 0.205 nm, a second-order maximum is detected at 22.20. Determine the spacing between the reflecting planes.. Select one: O a. 0.19nm O b. 1.84nm O c. 0.27nm O d. 0.54nmA He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^7 ? is used to calibrate a reflection grating in a spectroscope. The first-order diffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?A laser with wavelength 755 nm illuminates a single vertical slit of width 7.22 μm. At what angle in degrees (with respect to straight through) will the first minimum of the light intensity propagate? [Choose the positive answer]
- b) A certain grating has 10" slits with a spacing of d=2.1µm. It is illuminated with yellow sodium light (=589 nm). Find the angular width of the fourth-order maximum.Intense white light is incident on a diffraction grating that has 610 lines/mm. (a) What is the highest order in which the complete visible spectrum can be seen with this grating? (Enter 1 for first order, 2 for second order, etc.) (b) What is the angular separation between the violet edge (400 nm) and the red edge (700 nm) of the first order spectrum produced by the grating? OAn 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).
- Combined interference and diffraction With a green laser λ= (532 ± 0.01)nmDouble slots d =(0.25 ± 0.01)mm with a= (0.080 ± 0.005)mm on a support;Double slots d =(0.50 ± 0.01)mm with a= (0.080 ± 0.005)mm on a support;Optical bench with photosensor connected to Capstone;Ruler;Tape measure. How many bright interference fringes will be observable inside the central diffraction peak of a double slit? In order to answer the question, start with the analysis of single slit diffraction:Calculate the linear position on the screen of the diffraction minimum of order 1 for a slit whose width is a=0.08mm, illuminated by light whose wavelength is λ=532nm(green). Take a distance between the screen and the slot of L=1 meter. Diffraction and Young interference combined:Using your previous result, calculate the number of bright interference fringes present in the central diffraction peak of a double slit whose distance between the two slits is d=0.25mm. The width of the slits (a=0.08mm), the wavelength…A Fraunhofer diffraction pattern of a single slit of width 0.281 mm is produced using light of wavelength 568 nm. Find the angle subtended by the central diffraction maximum. (Its not 0.00202 rad or 0.00197 rad)Monochromatic light of variable wavelength is incident normally on a thin sheet of plastic film in air. The reflected light is a maximum only for A = 491.4 nm and A = 688.0 nm in the visible spectrum. What is the thickness of the film (n = 1.58)? [Hint: Assume successive values of m.]