Consider two flat pieces of glass which are L = 5 cm long. They lie on top of each other, separated at one end by a hair of diameter d = 50 µm. Calculate the number of bright fringes seen across the plates and the spacing of these fringes for light with λ = 600 nm.
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- Light of wavelength 585.0 nm illuminates a slit of width 0.60 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.91 mm from the central maximum? m(b) Calculate the width of the central maximumA vehicle with headlights separated by 1.71 m approaches an observer holding an infrared detector sensitive to radiation of wavelength 885 nm. What aperture diameter is required in the detector if the two headlights are to be resolved at a distance of 27.0 km?Young's experiment uses a laser with a wavelength λ = 632.8 nm, a slit separation of 0.5 mm and an observation distance of 40 cm. What is the separation of the stripes if the experiment is performed in (a) air (n = 1,0003), (b) a carbon dioxide environment (n = 1,0005), and (c) in water (n = 1,333)?
- Problem 2: Consider light that has its third minimum at an angle of 23.6° when it falls on a single slit of width 3.55 μm. Randomized Variables 9 = 23.6° w = 3.55 um D Find the wavelength of the light in nanometers. λ=1 sin() cos() cotan() asin() atan() acotan() tanh() cosh() O Degrees Hints: 2% deduction per hint. Hints remaining: 2 Submit tan() JU acos() E sinh() cotanh() Radians Hint ( + 7 8 9 4 5 6 1 0 VO BACKSPACE Feedback 2 3 All content © 2022 Expert TA, LLC DEL HOME END I give up! Feedback: 2% deduction per feedback. CLEARYellow light with wavelength, λ = 546 nm, is shined on two slits that are, d = 0.96 μm, apart and the resulting diffraction pattern is observed on a screen that is a distance, D = 1.3 m away. (a) Find the angles of the first order minima and maxima. 01min 1max = (b) How far apart are they on the screen? Ay = || m 0 (c) What is the screen width of the central maximum? What is its angular width? Ayo Δθο = cm 0 (d) Will there be a second order minimum? O Yep O Nope (e) Will there be a second order maximum? O Yep O NopeProblem 3: When laser light is passed through two narrow slits separated by 148 µm, an interference pattern is observed on a screen 1.67 m away. The distance between the central spot and the first-order constructive interference is found to be 5.3 mm. λ = Part (a) Find the wavelength of the laser light, in nanometers. || sin() cotan() atan() cosh() cos() asin() acotan() tanh() O Degrees Submit tan() acos() E ^^^ sinh() cotanh() Radians Hint () 7 BE * Feedback ∞52 63 1 8 9 4 5 + 0 END Vo BACKSPACE DEL CLEAR HOME I give up! Part (b) At what angle, in degrees, from the central spot is the second-order constructive interference formed?
- A vehicle with headlights separated by 2.00 m approaches an observer holding an infrared detector sensitive to radiation of wavelength 885 nm. What aperture diameter is required in the detector if the two headlights are to be resolved at a distance of 10.0 km?Light of wavelength 586.5 nm illuminates a slit of width 0.78 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.95 mm from the central maximum? m (b) Calculate the width of the central maximum. mmA helium-neon laser (λλ = 633 nmnm) illuminates a single slit and is observed on a screen 1.60 mm behind the slit. The distance between the first and second minima in the diffraction pattern is 3.75 mm . What is the width (in mm) of the slit? Express your answer in millimeters.
- A spacer is cut from a playing card of thickness 2.88 x 10-4 m and used to separate one end of two rectangular, optically flat, 3.10 cm long glass plates with n = 1.65, as in the figure below. Laser light at 633 nm shines straight down on the top plate. HINT (a) Count the number of phase reversals for the interfering waves. 909.9 (b) Calculate the separation (in m) between dark interference bands observed on the top plate. Need Help? Read ItThe limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just-resolvable points of light for a 7.25 mm diameter pupil, assuming the average wavelength of 554 nm? 0.00534 O angle between two points of light: Take the result to be the practical limit for the eye. What is the greatest possible distance a car can be from a person if he or she can resolve its two headlights, given they are 1.50 m apart? greatest distance at which headlights can be distinguished: m 1.61 Incorrect What is the distance between two just-resolvable points held at an arm's length (0.900 m) from a person's eye? 0.145 distance between two points 0.900 m from a person's eye: m Incorrect