Red light from three separate sources passes through a diffraction grating with 3.60 × 10° slits/m. The wave- lengths of the three lines are 6.56 × 10-7 m (hydrogen), 6.50 x 10-7 m (neon), and 6.97 × 10-7m (argon). Calculate the angles for the first-order diffraction line of each source.
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- Light of wavelength λ = 610 nm and intensity I0 = 240 W/m2 passes through a slit of width w = 4.8 μm before hitting a screen L = 1.6 meters away. Part (a) Use the small-angle approximation to write an equation for the phase difference, β, between rays that pass through the very top and very bottom of the slit when the rays hit a point y = 46 mm above the central maximum. Part (b) Calculate this phase difference, in radians? Part (c) What is the intensity of the light, in watts per square meter, at this point?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?In a double-slit experiment, monochromatic light of wavelength 506. nm is incident on identical parallel slits of width 0.410 mm and separated by a distance of 0.550 mm. The interference pattern is observed on a screen 2.26 m from the slits. The intensity at the center of the central maximum is 7.36 mW/m². What is the intensity (in mW/m²) at a point on the screen that is 0.810 mm from the center of the central maximum? i mW/m²
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