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Thickness of human hair. 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 laboratory measurements on a human hair, it was found that when a beam of light of wavelength 632.8 nm was shone on a single strand of hair, and the diffracted light was viewed on a screen 1.25 m away, the first dark fringes on either side of the central bright spot were 5.22 cm apart. How thick was this strand of hair?
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- Diffraction can be used to provide a quick test of the size of red blood cells. Blood is smeared onto a slide, and a laser shines through the slide. The size of the cells is very consistent, so the multiple diffraction patterns overlap and produce an overall pattern that is similar to what a single cell would produce. Ideally, the diameter of a red blood cell should be between 7.5 and 8.0 μm. If a 633 nm laser shines through a slide and produces a pattern on a screen 24.0 cm distant, what range of sizes of the central maximum should be expected? Values outside this range might indicate a health concern and warrant further study.arrow_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_forwardIn a double slit experiment with monochromatic light, the separation between the slits is 2 mm. If the screen is moved by 100 mm toward the slits, the distance between the central bright line and the second bright line changes by 32 μm. Calculate the wavelength of the light used for the experiment.arrow_forward
- Monochromatic X-rays are incident on a crystal. The first-order Bragg peak is observed when the angle of incidence is 34.0°. The crystal spacing is known to be 0.347 nm. What is the wavelength of the X rays?arrow_forwardQ/4 : In Biprism experiment the fringe width is 0.30 mm. If slits are covered by glass plate of thickness 0.04 mm and refractive index u = 1.5, then the fringe width is (a) 0.02 mm (b) 0.1 mm (c) 0.30 mm (d) 0.2 mmarrow_forwardIn a diffraction experiment, a monochromatic light of 420 nm wavelength pass through a 20 μm wide slit. The screen is placed at 1.5 m from the slit. The ratio between the intensity at a point that is 45 mm from the center light to the maximum intensity of the diffraction pattern is _ percent.arrow_forward
- Your physics study partner tells you that the width of the central bright band in a single-slit diffraction pattern is inversely proportional to the width of the slit. This means that the width of the central maximum increases when the width of the slit decreases. The claim seems counterintuitive to you, so you make measurements to test it. You shine monochromatic laser light with wavelength λ onto a very narrow slit of width a and measure the width w of the central maximum in the diffraction pattern that is produced on a screen 1.50 m from the slit. (By “width,” you mean the distance on the screen between the two minima on either side of the central maximum.) Your measurements are given in the table. (a) If w is inversely proportional to a, then the product aw is constant, independent of a. For the data in the table, graph aw versus a. Explain why aw is not constant for smaller values of a. (b) Use your graph in part (a) to calculate the wavelength λ of the laser light. (c) What is…arrow_forwardMonochromatic light of wavelength 4300 A.U. falls on slit of width a. For what value of a, the first maximum falls at 30°?arrow_forwardA blackbody radiator in the shape of a sphere has a surface area of 152 If it has a temperature of 1200 K how much energy does it emit per second? If the sun emits light with a peak wavelength of 500 nm. What is the temperature of the sun? Two slits, 0.5 mm apart, are placed at a distance of 1.5 meters from a screen. Light of 300 nm illuminates the two slits and an interference pattern is observed on the screen. What is the distance between the central bright spot and the first bright spot on either side?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
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