A set of narrow vertical slits is located a distance D from a screen. The slits are equally spaced and have the same width. The intensity pattern in the figure is observed when light from a laser passes through the slits, illuminating them uniformly. The screen is perpendicular to the direction of the light. Data: Distance to the screen = 2.47 m, Wavelength of light = 420 nm, Distance between tick marks on the intensity figure = 1.90 cm. Calculate the width of the slits. If the slit separation is increased by a factor of 2, what would be the distance between the principal peaks on the screen?
Added by Juan Jos- M.
Step 1
012 \, m \] \[ \lambda = 420 \times 10^{-9} \, m \] \[ D = 2.47 \, m \] Solving for W: \[ W = \frac{\lambda D}{X} = \frac{420 \times 10^{-9} \times 2.47}{0.012} = 86.94 \times 10^{-6} \, m = \textbf{86.94} \, \mu m \] Show more…
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A set of narrow vertical slits is located a distance D from a screen. The slits are equally spaced and have the same width. The intensity pattern in the figure is observed when light from a laser passes through the slits, illuminating them uniformly. The screen is perpendicular to the direction of the light. Data: Distance to the screen = 2.47 m, Wavelength of light = 520 nm, Distance between tick marks on the intensity figure = 1.60 cm. What is the spacing between the slits? Calculate the width of the slits. If the slit separation is increased by a factor of 2, what would be the distance between the principal peaks on the screen?
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A set of narrow vertical slits is located a distance D from a screen. The slits are spaced and have the same width. A diffraction pattern, as shown in the figure, is observed when light from a laser passes through the slits, illuminating them in the same direction. The screen is placed parallel to the direction of the light. The distance to the screen is 3.13 m. The wavelength of light is 470 nm. The distance between tick marks on the intensity figure is 1.60 cm. What is the spacing between the slits? Calculate the width of the slits. If the slit separation is increased by a factor of 2, what would be the distance between the principal peaks on the screen?
Mark J.
In the two-slit interference experiment of Fig. $35-10$ , the slit widths are each 12.0$\mu \mathrm{m}$ , their separation is 24.0$\mu \mathrm{m}$ , the wavelength is $600 \mathrm{nm},$ and the viewing screen is at a distance of 4.00 $\mathrm{m} .$ Let $I_{P}$ represent the intensity at point $P$ on the screen, at height $y=70.0 \mathrm{cm} .$ (a) What is the ratio of $I_{P}$ to the intensity $I_{m}$ at the center of the pattern? (b) Determine where $P$ is in the two-slit interference pattern by giving the maximum or minimum on which it lies or the maximum and minimum between which it lies. (c) In the same way, for the diffraction that occurs, determine where point $P$ is in the diffraction pattern.
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