Double-Slit Interference Pattern A laser beam with a wavelength of 532 nm illuminates a double slit and produces an interference pattern on a screen 9.00 cm away. The distance between the m-0 fringe and one of the m=0 fringes is 0.850 cm on the screen. How many bright fringes are on the screen? Assume that the screen extends to a large distance in each direction and that even the faint fringes are visible.
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Design a Spectrometer You want to design a spectrometer to cover the visible spectrum from violet (400. nm) to red (700. nm) using firstorder images from a diffraction grating with 400. lines/mm. The spacing from the grating to the electronic image sensor used to record the spectrum is 6.00 cm. What is the minimum dimension for the image sensor?
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Soap Bubble When a narrow beam of white light shines almost perpendicular to the surface of a soap bubble, the bubble appears blue (480 nm in air) in reflected light. The index of refraction of the soapy water is approximately 1.33. What are three possible thicknesses for the wall of the soap bubble?
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Lens Antireflection Coating Camera lenses (n = 1.52) are often coated with magnesium fluoride (MgF2; n = 1.38). The principle behind these coatings is to use destructive interference to reduce reflections from the surface of the lens. Calculate the minimum thickness required for an MgF2 coating that would give destructive interference for reflected light in the blue–green region (λ=565 nm). For this thickness of MgF2, are there any wavelengths in the visible spectrum (wavelengths of 400 nm to 700 nm) for which the reflected light interferes constructively?
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Single-Slit Image Width A single slit of width 0.750 mm is illuminated by red laser light with a wavelength of 656 nm. Find the width of the central (bright) band on a screen 1.00 m from the slit.
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Resolving Binary Stars A pair of stars in a binary system is separated by 0.200 light years. The system is 7800 light years from us, and the stars’ orbits are oriented perpendicular to our line of sight. (a) What minimum aperture diameter for your telescope do you need to resolve them? Assume light from the stars has a wavelength of 525 nm. (b) If the stars are bright enough, can they be resolved by an unaided human eye? Explain.
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How Many Fringes? A laser emitting green coherent light with a wavelength of 532 nm illuminates two slits that are 0.150 mm apart. The width of each slit is 0.0200 mm. How many fringes are visible on a screen? Assume that only the fringes within the central maximum are visible.
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A net like membranous complex of superposed flat saccules with vesicles detaching from the extremities seen in electronic microscopy. What is the observed structure? What is its biological function?