= 633 nm illuminates a pair of slits at normal incidence. What slit separation will produce first-order maxima at angles of +/- 38.2° from the incident Laser light with a wavelength A direction?
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- A helium-neon laser (2=632.8 nm) is used to calibrate a diffraction grating. If the first-order maximum occurs at 20.0°, what is the spacing between adjacent grooves in the grating? (In this problem, assume that the light is incident normally on the grating.) umIt is desired to make an anti-reflection coating using a thin film on glass, to minimise reflection for light of 600nm wavelength in air an angle of incidence in air of 30 degrees. The film material has a refractive index of ?? = 1.37. Calculate the required minimum thickness of the film; give your answer in nm to the nearest integer.A thin film of oil, noil = 1.50, is spread over a puddle of water, nwater=1.33. In a region where the film looks red, λred=630nm, from directly above, what is the minimum possible thickness of the film?
- A single slit of width 0.11 mm is illuminated by a mercury light of wavelength 543576 nm. Find the intensity in terms of Io. at a 12° angle to the axis in terms of the intensity of the central maximum. Round your answer to 7 decimal places.Two point sources of light are separated by 5.5 cm. As viewed through a 12um-diameter pinhole, what is the maximum distance from which they can be resolved if green light is used (wavelength= 546 nm)A parallel beam of light from a He-Ne laser, with a wavelength 633nm, falls on two very narrow slits 0.064mm apart. How far apart are the fringes in the center of the pattern on a screen 3.9m away?
- The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of a Its) Hepre T thickness t and refractive index u is put in front of one of the slits, the a(μµ − 1) - central maximum gets shifted by a distance equal to n fringe widths. If the wavelength of light used is λ, t will be 2nDλ (a) (b) 2Dλ a(μ-1) (c) Dλ a(µ − 1) - D (d) Screen nDλ a(μµ - 1)Find the angle in degrees between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.90 µm. .01008912 O (b) What is the distance in mm between these minima if the diffraction pattern falls on a flat screen 2.00 m from the slit? .3448 X mm (c) Discuss the ease or difficulty of measuring such a distance. (Select all that apply.) ✔This distance is easily measured using a microscope. This distance is easily measured by the human eye. ✔This distance is easily measured using a magnifying glass.A visible laser with wavelength 6.11E-7 m passes through a thin slit that is 8.08E-5 m wide. What is the smallest angle relative to the original direction is the light beam completely cancelled (in degrees)?
- Problem 2. Suppose that a Michelson interferometer is illuminated by a source emitting a doublet of vacuum wavelengths, 21 and 22. As one mirror is moved, the fringes periodically disappear and then reappear. If a displacement Ad of the mirror causes a one-cycle variation in fringe visibility, derive an expression for Ad in terms of Aλ = 2-1. Then calculate Ad for the sodium doublet, where λ₁ = 588.995 nm and 2 = 589.592 nm.Two slits are separated by 0.370 mm. A beam of 555-nm light strikes the slits, producing an interference pattern. Determine the number of maxima observed in the angular range -32.0° < 0 < 32.0°. maxima Need Help? Read ItAn 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? um