One arm of a Michelson interferometer has a section of length 2.17 cm where the air can be evacuated. The dielectric constant of air is 1.00059. Find the number of fringes which will shift in the interference pattern of the interferometer when the air is evacuated for an interferometer illuminated with light of 663 nm wavelength. Round your answer to 0 decimal places.
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- Three discrete spectral lines occur at angles of 10.3°, 13.6°, and 15.4° in the first-order spectrum of a grating spectrometer. (Assume that the light is incident normally on the gratings.) (a) If the grating has 3 680 slits/cm, what are the wavelengths of the light? (Enter your answers from smallest to largest.) nm nm nm (b) At what angles are these lines found in the second-order spectrum? (Enter your answers from smallest to largest.) Need Help? Watch It Read ItProblem 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.Problem 7: Consider light falling on a single slit, of width 1.05 μm, that produces its first minimum at an angle of 33.6°.Randomized Variables θ = 33.6°w = 1.05 μm Calculate the wavelength of the light in nanometers.
- A transmission grating has 2550 lines/cm. Consider a beam of monochromatic light normal to the surface. It is found that the angle of the first-order bright fringe is 10 degrees. What is the wavelength of the light? (in nm) OA: 681.0 OB: 796.7 OC: 932.2 OD: 1090.7 OE: 1276.1 OF: 1493.0 OG: 1746.8 OH: 2043.8Problem 2: Consider light that has its third minimum at an angle of 23.6° when it falls on a single slit of width 3.55 μm. Randomized Variables 9 = 23.6° w = 3.55 um D Find the wavelength of the light in nanometers. λ=1 sin() cos() cotan() asin() atan() acotan() tanh() cosh() O Degrees Hints: 2% deduction per hint. Hints remaining: 2 Submit tan() JU acos() E sinh() cotanh() Radians Hint ( + 7 8 9 4 5 6 1 0 VO BACKSPACE Feedback 2 3 All content © 2022 Expert TA, LLC DEL HOME END I give up! Feedback: 2% deduction per feedback. CLEARA single slit with a slit width of 0.48 mm is illuminated with monochromatic light having a wavelength of 491 nm. At what distance away should a screen be placed so that the central maxima has a spatial width of .52 cm. Express the distance in meters.
- A thin film with an index of refraction of 1.50 is placed in one of the beams of a Michelson interferometer. If this causes a shift of 8 bright fringes in the pattern produced by light of wavelength 480 nm, what is the thickness of the film?Suppose the separation of the narrow slits in Young's Experiment is 1.000 mm and the viewing screen is 5.000 m away. Plane waves of monochromatic 589.3-nm light illuminate the slits and the whole setup is in air where n = 1.00029. What would happen to the fringe separation if all the air was pumped out?Light with wavelength 2 passes through a narrow slit of width w and is seen on a screen which is located at a distance D in front of the slit. The first minimum of the diffraction pattern is at distance d from the middle of the central maximum. Calculate the wavelength of light if D=2.4 m, d =1 mm and w = VAD.Give your answer in nanometers. Answer: Choose...