A miniature spectrometer used for chemical analysis has a diffraction grating with 800 slits/mm set 25.0 mm in front of the detector “screen.” The detector can barely distinguish two bright lines that are 30 μm apart in the first-order spectrum. What is the resolution of the spectrometer at a wavelength of600 nm? That is, if two distinct wavelengths can barely be distinguished, one of them being 600.0 nm, what is the wavelength difference Δλ between the two?

Laser light of a single wavelength (600 nm) is shined upon a mystery aperture. As the light passes through the mystery aperture, it diffracts and creates an interference pattern on a screen placed 2 m behind the aperture. The figure below shows detailed measurements of the inter- ference pattern. Use this information to solve parts (a) - (c) Intensity + 2 4 5 х (ст) (a) What is the mystery aperture? You may assume that the size of the aperture is compared to the distance to the screen. (Hint: is it a double slit aperture, a diffraction grating, or a single slit aperture?) very small (b) If answered single slit in part (a), determine the slit width. If you answered double you slit or diffraction grating in part (a), determine the slit spacing. (Hint: Use the width of the central maximum). (c) A mystery laser is shined upon the mystery aperture and the following interference pat- tern is produced: Intensity + 1 2 3 4 5 x (cm) What is the wavelength of the mystery laser light? You may…

In a Young's double-slit experiment, the seventh dark fringe is located 0.028 m to the side of the central bright fringe on a flat screen, which is 1.1 m away from the slits. The separation between the slits is 1.7 × 10-4 m. What is the wavelength of the light being used? Seventh dark fringe Number i Double slit Units 0 Central bright fringe Seventh dark fringe Screen

A laser with a wavelength of λ = 401 nm is incident on a diffraction grating. The m = 3 maxima appears a distance of y = 2.00 cm from the central maximum when the screen is placed X = What is the diffraction angle for this m = 3 maxima? 0 = What is the slit separation, d, in nm? d = nm How many lines/cm does the grating have in lines cm lines cm ? 90 cm from the grating.

You illuminate a slit with a width of 78.1 µm with a light of wavelength 729 nm and observe the resulting diffraction pattern on a screen that is situated 2.27 m from the slit. What is the width w, in centimeters, of the pattern's central maximum? W = cm

An electric current through an unknown gas produces several distinct wavelengths of visible light. Consider the first order maxima for the wavelengths 403 nm, 428 nm, 511 nm, and 682 nm of this unknown spectrum, when projected with a diffraction grating of 5,000 lines per centimeter.Randomized Variablesλ1 = 403 nmλ2 = 428 nmλ3 = 511 nmλ4 = 682 nm Part (a)  What would the angle (in degrees) be for the 403 nm line?   Part (b)  What would the angle (in degrees) be for the 428 nm line?   Part (c)  What would the angle (in degrees) be for the 511 nm line?   Part (d)  What would the angle (in degrees) be for the 682 nm line?    Part (e)  Using this grating, what would be the angle (in degrees) of the second-order maximum of the 403 nm line?

A light of wavelength 700 nm illuminates a diffraction grating. 2nd order maximum is at 55°. What is the number of gratings per cm? 854.5 lines/cm 585.1 lines/cm 1709 lines/cm 85450 lines/cm 11702 lines/cm 5851.4 lines/cm 170900 lines/cm

Chapter 35, Problem 019 Suppose that Young's experiment is performed with light of wavelength 497 nm. The slits are 1.74 mm apart, and the viewing screen is 4.51 m from the slits. How far apart are the bright fringes in meters? Number Units Use correct number of significant digits; the tolerance is +/-2%

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 It

The figure below shows the graph of intensity as a function of angular position for a double-slit diffraction experiment. The diffraction pattern was created by passing light of wavelength 684 nm through two parallel slits. What is the separation of the slits that corresponds to such an intensity distribution (in μm)? Intensity (mW/cm²) 8 5 10 0 (degrees) 15 20 25