White light is incident on a diffraction grating with 455 lines/mm. HINT (a) Calculate the angle 0, (in degrees) to the second-order maximum for a wavelength of 640 nm. r2 16.92 (b) Calculate the wavelength in nm of light with a third-order maximum at the same angle 0 2. nm

A light with wavelength λ = 565 nm falls on a pair of closely separated slits. The first dark fringe of the interference pattern is at an angle θ = 3.25 degrees from the central maximum. a) Solve for the numerical value of d in mm.

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33. You have a laser (a monochromatic light source) and want to estimate the wavelength. You decide to use a reflective diffraction grating to do this. The light is incident on the grating at 20 degrees with respect to normal. Using a grating with a groove distance of 5 um, the first-order diffraction, is found at an angle of -12.5 degrees. Determine the wavelength of the source. a) 500 nm b) 628 nm c) 808 nm d) 946 nm e) None of the above 34. In Raman spectrometry, Stokes lines have a) lower energy than that of anti-Stokes scattering. b) equal energy to that of anti-Stokes scattering. ) higher energy than that of anti-Stokes scattering d) none of the above 35. Upon ionization of phenol in aqueous solution, maximal UV absorbance changes to longer wavelength. a) True b) False 36. It takes longer time to observe fluorescence than phosphorescence. a) True b) False 37. The vibrational motion of C-H stretching in ethylene as in the figure can be detected by a) IR. b) Raman. c) IR and Raman.…

1. The limit to the eye's acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.1 mm-diameter pupil, assuming an average wavelength of 570 nm? rads (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 0.8 m apart? r= km (c) What is the distance between two just-resolvable points held at an arm's length (1 m) from your eye? mm S=

A thin film of glycerin (n = 1.473) of thickness 475 nm with air on both sides is illuminated with white light at near normal incidence. What wavelengths will be strongly reflected in the range 300 nm to 700 nm? nm (smallest value) nm nm (largest value) Need Help? Read It

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.

A lens with an index of refraction of 1.60 is to be coated with a material (n = 1.40) that will make the lens nonreflecting for yellow-orange light (λλ = 515 nm) normally incident on the lens. What is the minimum required thickness of the coating?