Light Emitting Diodes (LEDS) are semiconductor devices that emit light at specific wavelengths without emitting at any other wavelengths. LEDS can be used to create lasers that are very compact since they are a solid state device. A pair of narrow, parallel slits separated by 0.275 mm are illuminated by the green LED laser (1 = 546.1 nm). The interference pattern is observed on a screen 1.70 m from the plane of the parallel slits. (a) Calculate the distance from the central maximum to the first bright region. m (b) What is the distance between the first and second dark fringes? Additional Materials
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- Two slits separated by a distance of d=0.150 mm are located at a distance of D=810. mm from a screen. The screen is oriented parallel to the plane of the slits. The slits are illuminated by a coherent light source with a wavelength of λ=549×10−6 mm. The interference pattern shows a peak at the center of the screen (m=0) and then alternating minima and maxima. (a) What is the path length difference in millimeters between the two waves from the two slits at the first (m=1) maximum on the screen? (b) What is the path length difference in millimeters between the two waves from the two slits at the first (m=0) minimum on the screen? (c) Calculate the distance on the screen between the central maximum (m=0) and the first (m=1) maximum. You can assume sinθ≈tanθ≈θ, with θ expressed in radians. Give your answer in millimeters.An instructor directs monochromatic light toward a single slit in an opaque barrier. The light has a wavelength of 550 nm and the slit is 0.230 mm wide. The light that passes through the slit creates a diffraction pattern on a screen, which is 1.65 m from the slit. (a) How wide (in mm) is the central maximum (the central, bright fringe), as measured on the screen? Single-slit diffraction is most readily described with a formula that gives the distance from the center of the pattern to the mth-order dark fringe. Consider the first dark fringe on either side of the central peak (m = ±1). How does its distance relate to the full width of the central maximum? Take care with units. mm (b) How wide (in mm) is either of the two first-order bright fringes, as measured on the screen? Single-slit diffraction is most readily described with a formula that gives the distance from the center of the pattern to the mth-order dark fringe. Consider two adjacent fringes on one side of the…You perform a double-slit experiment in order to measure the wavelength of the new laser that you received for your birthday. You set your slit spacing at 1.05 mm and place your screen 8.51 m from the slits. Then, you illuminate the slits with your new toy and find on the screen that the tenth bright fringe is 4.63 cm away from the central bright fringe (counted as the zeroth bright fringe). What is your laser's wavelength i expressed in nanometers? = nm
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