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Light of wavelength 410 nm (in vacuum) is incident on adiffraction grating that

ID: 2244664 • Letter: L

Question

Light of wavelength 410 nm (in vacuum) is incident on adiffraction grating that has a slit separation of 1.2 x10-5 m. The distance between the                     grating and the viewingscreen is 0.19 m. A diffraction pattern is produced on the screenthat consists of a central bright fringe and higher-order brightfringes                     (see the drawing). (a) Determine the distance y from thecentral bright fringe to the second-order bright fringe. (Hint: Thediffraction angles are small enough                     that the approximationtan(?) ~ sin(?) can be used.)(b) If the entire apparatusis submerged in water (nwater = 1.33), what is thedistance y?                 

Explanation / Answer

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Light of wavelength 391 nm (in vacuum) is incident on a diffractiongrating that has a slit separation of 1.2 x 10-5 m.The distance between the grating and the viewing screen is 0.18 m.A diffraction pattern is produced on the screen that consists of acentral bright fringe and higher-order bright fringes (see thedrawing). (a) Determine thedistance y from the central bright fringe to thesecond-order bright fringe. (Hint: The diffraction anglesare small enough that the approximation tan(?) ~sin(?) can be used.)(b) If theentire apparatus is submerged in water(nwater = 1.33), what is thedistance y?


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