At what angle 81 to the normal would the first dark ring be observed? Express yo
ID: 776611 • Letter: A
Question
At what angle 81 to the normal would the first dark ring be observed? Express your answer in degrees, to three significant figures. Constants a,-0.101 To use the formulas for the locations of the dark bands and understand Rayleigh's criterion of resolvability. An important diffraction pattern in many situations is diffraction from Previous Answers that you need is a pin and something opaque to poke the pin through. The figure shows a typical pattern. (Figure 1)lt consists of a bright central disk, called the Airy disk, surrounded by concentric rings of dark and light Correct While the mathematics required to derive the equations for circular- aperture diffraction is quite complex, the derived equations are relatively easy to use. One set of equations gives the angular radi of the dark rings, while the other gives the angular radii of the light rings. The equations are the following: Part B Suppose that the light from the pinhole projects onto a screen 3.00 meters away. What is the radius ri of the first dark ring on that screen? Notice that the angle from Part A is small enough that sin ~ tan Express your answer in millimeters, to three significant figures. View Available Hint(s) dark rings: sin 9-1.22 or 2.23 or 3.24 Figure of 1 19 Airy Submit X Incorrect; Try Again Part C This question will be shown after you complete previous question(s).Explanation / Answer
The radius, r1 of the first dark ring on that screen
tan(th1) = r1/3
=> r1 = 3*tan(th1)
= 3*tan(0.101)
= 5.29 mm
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