For a wavelength of 490 nm, a diffraction grating produces a bright fringe at an angle of 23°. For an unknown wavelength, the same grating produces a bright fringe at an angle of 34°. In both cases the bright fringes are of the same order m. What is the unknown wavelength?
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For a wavelength of 490 nm, a diffraction grating produces a bright fringe at an angle of 23°. For an unknown wavelength, the same grating produces a bright fringe at an angle of 34°. In both cases the bright fringes are of the same order m. What is the unknown wavelength?
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- 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)A diffraction pattern forms when light passes through a single slit. The wavelength of the light is 591 nm. Determine the angle that locates the first dark fringe when the width of the slit is (a)3.3 x 10^-4 m and 3.3 x 10^-6 mA grating has 3800 slits per cm. It produces a second order bright fringe at a 22 degree angle. What wavelength of light is being used?
- For a wavelength of 480 nm, a diffraction grating produces a bright fringe at an angle of 27°. For an unknown wavelength, the same grating produces a bright fringe at an angle of 33°. In both cases the bright fringes are of the same order m. What is the unknown wavelength? Number eTextbook and Media Diffraction grating Units 0₁ 02 Bright fringe m (unknown wavelength) Bright fringe m (known wavelength) Central bright fringe (m = 0) Bright fringe m (known wavelength) Bright fringe m (unknown wavelength) ScreenIn a single slit diffraction experiment, the width of the slit is 3.1 x 10-5 m and the distance from the slit to the screen is 2.2 m. If the beam of light of wavelength 600 nm passes through the slit and forms a diffraction pattern on the screen, what is the linear distance on the screen from the center of the diffraction pattern to the first dark fringe? 6.3 cm 7.4 cm 4.3 cm O 8.5 cmIn a single-slit diffraction pattern, the central fringe is 480 times as wide as the slit. The screen is 16,000 times farther from the slit than the slit is wide. What is the ratio X/W, where is the wavelength of the light shining through the slit and W is the width of the slit? Assume that the angle that locates a dark fringe on the screen is small, so that sin is approximately equal to tan (). Number Units