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2. If a single slit produces a first minimum at 14.5°, at vwhat angle is the third-order minimum
for the same wavelength?
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32. Light of wavelength 630 nm is incident on a long, narrow slit. Determine the angular deflection of the first diffraction minimum if the slit width is (a) 0.020 mm, (b) 0.20 mm, and (c) 2.0 mm.
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10. Light of wavelength 520 nm passes through a grating with 4000 lines/cm and falls on a screen located 1.6 m from the grating. (a) Draw a picture (not to scale) that schematically represents the process and label all known distances and angles. (b) Determine the angular deflection of the second bright band. (c) Determine the separation of the 2nd order bright spot from the central maximum. (d) Determine the total number of constructively interfering beams that are formed after the light passes the grating.
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3. A particular diffraction grating has 1 300 grooves per millimeter, and 15.0 mm of illuminated area. a) Assuming an incident angle of 45.0°, calculate the diffraction angle for first-order light at 625 nm. b) What wavelength of light would give this same diffraction angle in the second order? )What is the first-order resolving power of the grating? d) What must be the separation (in nm) of two first-order spectral lines centered at 625 nm if they are to be resolved? e) What is the angular dispersion (in degrees) between the two lines in part (d) asthey emerge from the grating?
3. In a double slit experiment, the distance between the slits is d=1 mm. A screen is situated at a distance of 2.5 m from the slits. Point P is at a distance of 25 cm from O', as in Figure. O' is the orthogonal projection of the center between the slits (0) on the screen. Monochromatic light with frequency v= 550 THz is used in this experiment. (a) Calculate the intensity of light at point P. (b) Calculate the angle ZP00'. (c) Calculate the location of the first three maxima with respect to point O'. (d) Calculate the location of the first three minima with respect to point O'. BONUS: You now consider that each slit has width a =0.05 mm. Calculate the intensity of light at point P. P.