Derive simplifiled expression for the intensity pattern for a three-slit "grating". Assume that p (2xd sine)/A and a << A. Use Im as the intensity at the central maximum. %3D I =
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- Light of wavelength 674 nm is incident on a narrow slit. The angle between the first diffraction minimum on one side of the central maximum and the first minimum on the other side is 1.31°. What is the width of the slit? Number i UnitsHow to slove this questionm, and d= 3.00 x 10 m. (B) Determine the distance between adjacent bright fringes. Use the bright fringe equation again to find the distance between any adjacent bright fringes (here, those characterized by m and m + 1). AL AL (m+ 1) - AL Ay = y+1 m%3D (5.63 x 107 m)(1.20 m) - 2.25 cm 3.00 x 105 m LEARN MORE REMARKS This calculation depends on the angle 0 being small because the small angle approximation was implicitly used. The measurement of the position of the bright fringes yields the wavelength of light, which in turn is a signature of atomic processes, as is discussed in the chapters on modern physics. This kind of measurement therefore helped open the world of the atom. QUESTION Which of the following make the separation between fringes greater in the two slit interference experiment? (Select all that apply.) O Larger separation of the two slits. O Narrower slits. Wider slits. O Smaller separation of the two slits. PRACTICE IT Use the worked example above to help you solve this…
- q16Shown in the figure below is single slit experiment. Monochromatic light of wavelength A, = 6.7e-07 meters comes in from the left and passes through the slit. The result is a pattern of bright and dark bands visible on a screen at a distance D = 3.58 meters away from the slit. The distance between the central maximum and the first dark fringe is y, = 0.0442 meters. Single Screen Slit dark dark D Determine the width of the slit. a = meters If the light is changed to a different color Ànew 4.75e-07 meters, the diffraction pattern changes. What is the new location of the first dark band? ynew = meters WARNING: The drawing is not to scale.Pls write clearly
- Light of the same wavelength is passed through two different double slit set ups. The interference patterns look like this (the distance scale is the same, and the grey blobs represent constructive interference fringes). Set up 1 Set up 2 Which set up has the wider slit spacing? Select one: а. Set up 1 O b. The two set ups have the same spacing Ос. It's impossible to tell from the interference patterns O d. Set up 2 CheckA monochromatic (single wavelength) light is incident on a 0.12-mm-wide slit. The second minimum in the diffraction pattern occurs at 0.70⁰. a. What is the wavelength of the incident light? b. If the screen on which the diffraction pattern is produced is placed 0.8 m away from the slit, determine the width of the central maximum.