Fringes are observed due to monochromatic light in a Michelson interfer- ometer. When the movable mirror is translated by 0.073 mm, a shift of 300 fringes is observed. What is the wavelength of the light? What displacement of the fringe system takes place when a flake of glass of index 1.51 and 0.005 mm thickness is placed in one arm of the interferometer? (Assume that the light beam is normal to the glass surface.)
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- A spy satellite orbits Earth at a height of 180 km. What is the minimum diameter of the objective lens in a telescope that must be used to resolve columns of troops marching 2.0 m apart? Assume λ = 550 nm.An optician is performing Young's double-slit experiment for her clients. She directs a beam of laser light to a pair of parallel slits, which are separated by 0.120 mm from each other. The portion of this light that passes through the slits goes on to form an interference pattern upon a screen, which is 4.50 meters distant. The light is characterized by a wavelength of 575 nm. (a) What is the optical path-length difference (in um) that corresponds to the third-order bright fringe on the screen? (This is the third fringe, not counting the central bright band, that one encounters moving from the center out to one side.) 1.73*10**3 um Enter a number. (b) What path-length difference (in um) corresponds to the third dark fringe that one encounters when moving out to one side of the central bright fringe? umThe Hubble Space Telescope (HST) orbits Earth at an altitude of 613 km. It has an objective mirror that is 2.40 m in diameter. If the HST were to look down on Earth's surface (rather than up at the stars), what is the minimum separation of two objects that could be resolved using 549 nm light? [IVote: The HST is used only for astronomical work, but a (classified) number of similar telescopes are in orbit for spy purposes.]
- Yellow light of wavelength 580 nm is used to view an object under a microscope. The objective lens diameter is 9.15 mm. (a) What is the limiting angle of resolution? prad (b) Suppose it is possible to use visible light of any wavelength. What color should you choose to give the smallest possible angle of resolution, and what is this angle? color ---Select--- angle prad (c) Suppose water fills the space between the object and the objective. What effect does this change have on the resolving power when 580-nm light is used? effect ---Select--- minimum resolvable angle pradA ray of monochromatic light is reflected and refracted, as shown in the figure, in the point “A” at the interface between material 1 with refractive index n1 = 1.54 (chloride of sodium) and material 2 with refractive index n2 = 1.77 (sapphire). The incident lightning forms an angle of 55 ° to the interface. The light that penetrates material 2, at point “A”, arrives then to point “B” at the interface between material 2 and material 3, which is air (n3 = 1), the interface through "B" being parallel to the interface through "A". In "B" part of the light is reflected and the rest enters the air. What is the angle of refraction in air? a) 62.04 ° b) 55 ° c) 29.93 ° d) 35 °Light containing wavelengths of 400 nm, 500 nm, and 650 nm is incident from air on a block of crown glass at an angle of 38.6°. (Assume crown glass has refractive indices of n 400 nm = 1.53, n 500 nm = 1.52, and n650 nm = 1.51.) (a) Are all colors refracted alike, or is one color bent more than the others? 400 nm light is bent the most 500 nm light is bent the most 650 nm light is bent the most all colors are refracted alike (b) Calculate the angle of refraction in each case to verify your answer. (Enter your answer to at least two decimal places.) 400 nm nm 0.500 0650 nm =
- A multi-mode fiber optic has a core index of n = 1.492 and a cladding index of 1.489. The diameter of the core is 30.0 microns. Monochromatic light is focused into one end of a perfectly straight fiber which is 25.0 km long. What will be the difference in arrival time at the far end of the fiber for the axial and marginal rays?A beam of light of wavelength 691 nm passes through two closely spaced glass plates, as shown in the figure.For what minimum nonzero value of the plate separation d will the transmitted light be bright? (This arrangement is often used to measure the wavelength of light and is called a Fabry-Perot interferometer.)A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.44 degrees, and the first light has wavelength λ1 = 618 nm. Part (a) Find θ1 using n and λ1 in radians. Part (b) Find θ2 in radians. Part (c) Find the value of the wavelength of the second color λ2 in nm.