A diffraction grating is placed in front of a laser beam, resulting in various bright spots appearing on a screen. Given the following values, and the positions of the dots on the screen (in metres), find the number of grating lines per mm.
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A diffraction grating is placed in front of a laser beam, resulting in various bright spots appearing on a screen. Given the following values, and the positions of the dots on the screen (in metres), find the number of grating lines per mm.
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- Answer part (d) of the problem. Do not use the small-angle approximation.In the configuration shown in the figure, how much flux in watts falls on a 1-mm x 1-mm detector that is placed on-axis in the image plane? The source is 2 cm x 2 cm, Lambertian, with radiance 5 W/cm²-sr. The object distance, p, is 50 cm; the image distance, q, is 25 cm. The lens diameter is 5 cm. Neglect diffraction effects and Fresnel losses. source P Figure P2.2 9 detProblem 3. A 1mm filament produces a 1mm × 1mm electron beam incident on an anode disk with anode angle = 13°.The center of the focal spot is 1 m away from a detector which is centered at the center of the focal spot on the anode disk and is 50 cm wide. Determine the effective focal spot dimensions on the disk and the dimensions of the focal spot in the center of the detector, at the far anode edge of the detector, and at the far cathode edge of the detector (see figure below which is definitely not to scale). 1 m աալ 0 40 cm
- Tungsten is a very high density, high melting point, and hard metal. These properties are partially due to its body centered cubic (BCC) crystal structure. Tungsten has an atomic number of 74 and an average mass of 183.8u. (1u = 1.661x10-27 kg). X-ray diffraction experiments determine that the Bravais lattice has a characteristic length of 3.155 Å (This means each side of the cube shown below has a length of 0.3155 nm.) How many complete tungsten atoms are there in each BCC unit cell?A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.319 for the red end of the spectrum and 1.34 for the violet end and an apex angle of 69 degrees. If the ray has an angle of incidence of 55degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum within the prism? Measure this in degrees to 3 decimal places.A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 4.14 × 1014 Hz that is incident normally on the pane. If the material has an index of refraction of 1.34 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating should have in nanometers? Please keep one decimal place in your answer. (c = 3.00 × 108 m/s)
- The prism in the figure below is made of glass with an index of refraction of 1.72 for blue light and 1.67 for red light. Find 8p, the angle of deviation for red light, and &g, the angle of deviation for blue light, if white light is incident on the prism at an angle of 30.0°. (Enter your answers in degrees.) HINT 30.0° White light dB 60.0° (a) SR, the angle of deviation for red light (b) BI the angle of deviation for blue lightIn an investigation, a group of students directs light from a laser pointer at a diffraction grating that has a line spacing of 1697 lines/mm. A series of bright spots appears on a screen placed 1.17 m from the grating. The students measure a distance of 60.13 cm between the central bright spot and the first order bright spot. Based on the students' measurements, the wavelength of the light emitted by the laser pointer, expressed is __________ nm.A beam of white light is incident on the surface of a diamond at an angle θa. (Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. For example, the indices of refraction in diamond are nred=2.410for red light and nblue=2.450blue=2.450 for blue light. Thus, blue light and red light are refracted at different angles inside the diamond, as shown in the picture. The surrounding air has nair=1.000 Note that the angles in the figure are not to scale. Now consider θc, the angle at which the blue refracted ray hits the bottom surface of the diamond. If θc is larger than the critical angle θcrit, the light will not be refracted out into the air, but instead it will be totally internally reflected back into the diamond. Find θcrit.
- A fiber laser (λ = 1.06 μm) has an output beam diameter of 1 cm. Find the diffraction limited spot size if the beam is focused by a lens with a 6 cm focal lengthPlot a graph of sin(θi) versus sin(θr) in an application such as Excel. Execute a linear regression fit and display the fit equation as well as the correlation coefficient.A narrow ray of white light (originating in air) is incident on the surface of a pool of water at at an angle of incidence of 55.5º. The table below gives the value of the index of refraction of water for various colors of visible light. (Assume that the index of refraction of air is 1.000. Round your answers to at least two decimal places.) Color red orange 1.332 yellow 1.333 blue Index of Refraction green 1.334 violet 1.331 O 1.337 1.340 (a) What is the refraction angle (in degrees) for the green component of the light ray in the water? (b) What is the refraction angle (in degrees) for the violet component of the light ray in the water?