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Four trials of Young’s double-slit experiment are
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Physics for Scientists and Engineers With Modern Physics
- Coherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1, with respect to the normal to the plane containing the slits as shown in Figure P27.14. The rays leaving the slits make an angle 2 with respect to the normal, and an interference maximum is formed by those rays on a screen that is a great distance from the slits. Show that the angle 2 is given by 2=sin1(sin1md) where m is an integer.arrow_forwardA Fraunhofer diffraction pattern is produced on a screen located 1.00 m from a single slit. If a light source of wavelength 5.00 107 m is used and the distance from the center of the central bright fringe to the first dark fringe is 5.00 103 m, what is the slit width? (a) 0.010 0 mm (b) 0.100 mm (c) 0.200 mm (d) 1.00 mm (e) 0.005 00 mmarrow_forwardIn an interference arrangement similar to Young's double-slit experiment, the slits S₁ and S₂ are illuminated with coherent microwave sources, each of frequency 106 Hz. The sources are synchronized to have zero phase difference. The slits are separated by a distance d = 150.0m. The intensity I (0) is measured asarrow_forward
- In a Young's double-slit experiment, light of wavelength 562 nm illuminates two slits which are separated by 1.00 mm. Bright fringes are seen on a screen at a distance of 5.00 m from the slits. Calculate the separation distance in units of mm, between adjacent bright fringes.arrow_forwardIn a Young's double-slit experiment, the separation between slits is d and the screen is a distance R from the slits. R is much greater than d and > is the wavelength of the light. The number of bright fringes per unit width on the screen is: d/RX R/dλ Rd/λ X/Rd Rλ/darrow_forwardIn a double slit experiment, the slits are separated by 0.1 mm. The slits are illuminated by 585 nm light. The screen is 4 m from the slits. Find a) the difference in path lengths for waves coming through the slits for a 2nd order bright fringe, b) the distance between the 2nd and 3rd dark fringes.arrow_forward
- Although we have discussed single-slit diffraction only for a slit, a similar result holds when light bends around a straight, thin object, such as a strand of hair. In that case, a is the width of the strand. From actual lab measurements on a human hair, it was found that when a beam of light of wavelength 632.8nm was shone on a single strand of hair, and the diffracted light was viewed on a screen 1.25m away, the first dark fringes on either side of the central bright spot were 5.22cm apart. How thick was this strand of hair?arrow_forwardIn Young's double slit experiment with a monochromatic light of wavelength 4000A°, the fringe width is found to be 0.4 mm. When the slits are now illuminated with a light of wavelength 5000A° the fringe width will be 1) 0.32mm 2) 0.5mm 7. 3) 0.6mm 4) 0.8mmarrow_forwardIn a modified Young's double slit experiment, a monochromatic uniform and parallel beam of light of wavelength 6000 A and intensity (10/) Wm2 is incident normally on two apertures A and B of radii 0.001 m and 0.002 m respectively. A perfectly transparent film of thickness 2000 A and refractive index 1.5 for the wavelength of 6000A is placed in front of aperture A (see figure). Calculate the power (in W) received at the focal spot F of the lens. The lens is symmetrically placed with respect to the apertures. Assume that 10% of the power received by each aperture goes in the original direction and is brought to the focal spot.arrow_forward
- In Young's double slit experiment the slits are 0.5 mm apart and interference is observed on a screen placed at a distance of 100 cm from the slits. It is found that the 9th bright fringe is at distance 8.835 mm from the second dark fringe from the centre of the fringe pattern. Find the wavelength of light used.arrow_forwardIn a two-slit interference experiment the distance between the slits is 0.370 mm and the angle of the line from the slits to the m = 4 bright region on the screen is 0.407. Find (a) the wavelength of the light used and (b) the angle of the line from the slits to the m = 2 dark region on the screen.arrow_forwardIn a Young's double-slit experiment, two parallel slits with a slit separation of 0.185 mm are illuminated by light of wavelength 563 nm, and the interference pattern is observed on a screen located 4.05 m from the slits. (a) What is the difference in path lengths from each of the slits to the location of the center of a fifth-order bright fringe on the screen? µm(b) What is the difference in path lengths from the two slits to the location of the center of the fifth dark fringe away from the center of the pattern? µmarrow_forward
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