Two waveslengths of light are incident upon a diffraction grating with a grating constant of 443 lines/mm. If the wavelengths of light are 639 nm and 436 nm, what is the angular separation between the 1st order maxima of these two wavelengths?
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- In June 1985, a laser beam was sent out from the Air Force Optical Station on Maui, Hawaii, and reflected back from the shuttle Discovery as it sped by 354 km overhead.The diameter of the central maximum of the beam at the shuttle position was said to be 9.1 m, and the beam wavelength was 500 nm.What is the effective diameter of the laser aperture at the Maui ground station? (Hint: A laser beam spreads only because of diffraction; assume a circular exit aperture.)A beam splitter is an optical device that splits a beam of light - half of the incident light is transmitted through the beam splitter, and half is reflected. Supposed we could make a beam splitter that reflects only 35% and transmits the other 65% (rather than 50/50). A beam of laser light with wavelength 656 nm is incident on our imaginary 35/65 beam splitter, at an angle of 45°. The beam pulse lasts 1.50 ms, and has a diameter of 0.60 mm. The intensity of the transmitted beam is 3.25 kW/m2. Draw a clear physics diagram of the problem. What is the energy of a photon from this laser? Find the peak Electric field of the reflected beam. Find the peak Magnetic field of the incident beam. What color is the laser beam? What momentum is transferred to the beam splitter by the laser pulse?A transmission grating with d=1.5μm is illuminated at various angles of incidence by light of wavelength 600nm. Derive an expression for the angular deviation of the first order diffracted beam (m=1) compared to the 0th order (m=0) as a function of the angle of incidence. Plot as a function of angle of incidence (0 to 90 degrees) the angular deviation of the first order diffracted beam from the 0th order (m=0) beam.
- 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.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?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).
- In a certain photo-chemical experiment, the light from a sodium lamp at 589.0 nmneeds to be diffracted at an angle of 55 degrees in thesecond diffraction order. Howmany lines/mm would your grating need to have in orderto do this?Consider Aluminum Oxide (Al2O3) is to be deposited as an antireflection coating (ARC) on a-Si solar cell. Calculate the Reflectance for 550 nm wavelength when a 50nm thick Al2O3 layer is deposited on Si. Given: Refractive index of Air = 1. Refractive index of Al2O3 = 1.77.A diffraction grating has 2500 lines/cm. What is the angle between the first-order maximum for red light wavelentgh = 680 nm and the first-order maximum for blue light wavelength = 410 nm?
- A layer of oil, with a refractive index of 1.40798, exactly 1 mm thick, floats on water. Light of vacuum wavelength 632.800 nm, emitted by a stabilized He-Ne laser, is reflected at normal incidence by the oil. Question 1 1 pts The index of refraction of the oil varies slightly with the vacuum wavelength of the light. Find this altered wavelength in nm: Question 2 1 pts How many wavelengths are contained in the light wave passing back and forth through the oil? (Hint: the reflected wave is shifted by X/2.) Please enter your answer as a whole number. Question 3 1 pts Does the light reflected from the two surfaces of the oil interfere constructively or destructively? Destructively O ConstructivelyX-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 nmTwo Fraunhofer lines in the solar absorption spectrum have wavelengths of 430.790 nm and 430.774 nm. A diffraction grating has 12,800 slits. (a) What is the minimum chromatic resolving power needed to resolve these two spectral lines? (b) What is the lowest order required to resolve these two lines?