1. What is the intensity of the first diffraction maxima relative to the central maxima for a single slit pattern? Hint: Use the intensity bs B plot below to find the B for the first maxima. diffraction 1/10 -18 || -3T -2π -TT 1.0 0/5 0 2π 3π
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- single slit Singie Location of dare spots & Sin Ø amA a sin ø : Sin d = tang 7. a = 3 mm A: b00 n m • Find the angle for the sth dork for of sizc a singie Slit Using 600 wave lenghtWavelength (nam) Rr4. ACRY 12921 Visible spectruini 2. A single-slit is illuminated by violet light of wavelength 405 nm. The width of the slit is 1.25 mm. The slit-to-screen distance is 4.50 m. Calculate the distance between the third diffraction minima (m3) and the first diffraction minima (m = 1) on the same side of the central diffraction maximum.Figure nmPart D Suppose the wavelength of the light is 530nm. How much farther is it from the dot on the screen in the center of fringe E to the left slit than it is from the dot to the right slit? Express your answer with the appropriate units. Ar Incorrect; Try Again; 2 attempts remaining|IIIII A_B_C_DE
- A beam of monochromatic light is diffracted by a slit of width 0.615 mm. The diffraction pattern forms on a wall 1.06 m beyond the slit. The width of the central maximum is 1.85 mm. Calculate the wavelength of the light. 3.32e-4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. nmProblem 4 | The full width at half maximum (FWHM) of the central diffraction maximum is defined as the angle between the two points in the pattern where the intensity is one-half that at the center of the pattern. (a) Show that the intensity drops to one-half of the maximum value when sin² a = a²/2. (b) Verify that a = 1.39 radians (about 80°) is a solution to the transcendental equation of part (a). (c) Show that the FWHM is A0 = 2 sin ¹ (0.443\/a). (d) Calculate the FWHM of the central maximum for slits whose widths are 1.0, 5.0, and 10 wavelengths.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.