5. Derive an expression for the Fraunhofer diffraction pattern (Four transform) for an aperture made of M =2L+1 parallel slits of infinitesimal widths separated by equal distances a= 10A, p(x, y) = L8(x-ma) m=-L Sketch the pattern as a function of the observation angle 0 = x/d, where is the d is the observation distance.
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Q: 11) PLEASE BE CLEAR ON YOUR RESPONSE AND ACCURACY, THANKS.
A: Given data *The given wavelength is λ=540 nm *The given separated distance is L=40 μm=4.0×10-5 m
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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.A diffraction grating has 2000 lines/cm. What is the angle between the first-order maxima for red light (λ = 720 nm) and blue light (λ = 500 nm)?Wavelength (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.
- Light with wavelength i passes through a narrow slit of width w and is seen on a screen which is located at a distance D in front of the slit. The first minimum of the diffraction pattern is at distance d from the middle of the central maximum. Calculate the wavelength of light if D=3.1 m, d=1 mm and w = VAD. Give your answer in nanometers. Answer: nm Next page23. A double slit experiment is conducted in air using a laser at 532 nm and slit separation of 20 um. What happens to the fringe spacing if the entire experiment is now immersed in water? A) The fringe spacing will remain the same B) The fringe spacing will increase C) The fringe spacing will decrease10. You have a single-slit diffraction apparatus, with a slit 4.60 × 10−6 m wide arranged 1.80 m from the screen. You would like an anti-node to appear 68.2 cm from the right bisector. What are two possible visible wavelengths you could use?
- Light from a laser strikes a diffraction grating that has 5 302 grooves per centimeter. The central and first-order principal maxima are separated by 0.488 m on a wall 1.90 m from the grating. Determine the wavelength of the laser light. (In this problem, assume that the light is incident normally on the gratings.) nmChapter 36, Problem 009 A slit 0.803 mm wide is illuminated by light of wavelength 481 nm. We see a diffraction pattern on a screen 3.68 m away. What is the distance in millimeters between the first two diffraction minima on the same side of the central diffraction maximum? Number Units Use correct number of significant digits; the tolerance is +/-2%Light from a laser strikes a diffraction grating that has 5 308 grooves per centimeter. The central and first-order principal maxima are separated by 0.488 m on a wall 1.70 m from the grating. Determine the wavelength of the laser light. (In this problem, assume that the light is incident normally on the gratings.) nm