A vehicle with headlights separated by 1.95 m approaches an observer holding an infrared detector sensitive to radiation of wavelength 885 nm. What aperture diameter is required in the detector if the two headlights are to be resolved at a distance of 26.0 km? mm
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A vehicle with headlights separated by 1.95 m approaches an observer holding an infrared detector sensitive to radiation of wavelength 885 nm. What aperture diameter is required in the detector if the two headlights are to be resolved at a distance of 26.0 km?
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- (a) What is the approximate size of the smallest object on the Earth that astronauts can resolve by eye when they are orbiting 259 km above the Earth? Assume λ=500 nm and a pupil diameter of 5.00 mm. (b) Draw a picture illustrating the situation in part (a).A new optical imaging satellite is being designed for the Maritime Domain Awareness mission. The satellite will be placed in a circular orbit at 5000 km altitude and be able to look off of nadir, giving a maximum range to the target of 7000 km. The desired resolution is 3 meters. Assuming the sensor will operate in the SWIR (λ = 1.5 μm), estimate the required diameter of the primary aperture to achieve the desired resolution at the maximum range. Report answer in meters to two significant digits. The required aperture diameter is _____ meters.You are looking into the headlights of a distant vehicle on an autoroute in France. The driver has shown his resistance to the Europeanization of Europe by resolutely continuing to use yellow headlights (wavelength 550 nm). (a) What is the theoretical limit of angular resolution of your eyes for these headlights when your iris has a diameter of 6.00 mm? (Express your answer in milli-radians (mrad).) (b) If the headlights of the car are separated by 1.80 m, with this resolution at what distance would you be just be able to tell that the vehicle had, in fact, two headlights? (Express your answer in km.)
- You measure the distance between the finges of a diffraction pattern as follows: Distance (mm): 3.01, 3.27, 3.28 You measure the distance eight additional times to obtain the following ten values: Distance (mm): 3.01, 3.27, 3.28, 3.31, 3.16, 3.17, 3.15, 3.25, 3.18, 1.46 What values for the distance and uncertainty would you report using the first three measurements and the entire set of ten measurements? Group of answer choices First three: (3.22 ± 0.03) mm, All ten: (3.22 ± 0.02) mm First three: (3.19 ± 0.09) mm, All ten: (3.0 ± 0.2) mm First three: (3.186667 ± 0.07216237) mm, All ten: (3.201000 ± 0.02613236) mm First three: (3.216667 ± 0.02880329) mm, All ten: (3.216000 ± 0.02379916) mm First three: (3.240000 ± 0.04082483) mm, All ten: (3.217000 ± 0.02702036) mm First three: (3.24 ± 0.04) mm, All ten: (3.22 ± 0.03) mmYour telescope has a diameter of D = 0.934 m. You use it to look at craters on the moon, which is L = 3.84e8 m away. Assuming you're observing with a wavelength of λ = 627 nm, what is the size (y) of the smallest crater you can resolve?Find the minimum telescope aperture that could resolve an object with angular diameter 0.35 arcsecond, observed at 520-nm wave- length. (Note: 1 arcsec = 1/3600°.)
- Copper Kα1X-rays have a wavelength of 0.15406 nm. What is the interplanar spacing d, for the (200) planes in iron when the Bragg angle θ is 32.52 ̊ (assuming n=1, first-order diffraction)?If Superwoman had 0.12-nm wavelength x-ray vision and a 5.0-mm pupil diameter, at what maximum altitude could she distinguish villains from heroes assuming the minimum detail required is 4.8 cm?In June 1985, a laser beam was sent out from the Air Force Optical Station on Maui, Hawaii, and reflected back from the shuttle Discovery as it sped by, 354 km overhead. The diameter of the central maximum of the beam at the shuttle position was said to be 9.1 m, and the beam wavelength was 550 nm. What is the effective diameter of the laser aperture at the Maui ground station? (Hint: A laser beam spreads only because of diffraction; assume a circular exit aperture. A. 0.232 m B. 0.199 m c. 0.047 m D. 0.052 m