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32. If the distance from the Earth to the Moon is 3.8 x 10^8 m,what diameter would be required for a telescope objective toresolve a Moon crater 300 m in diameter? Assime a wavelength of 500nm.36. (a) Calculate the limiting angle of resolution for the eye,assuming a pupil diameter of 2.00 mm, a wavelength of 500 nm inair, and an index of refraction for the eye of 1.33. (b) What isthe maximum distance from the eye at which two points separated by1.00 cm could be resolved?
The telescopes on some commercial surveillance satellitescanresolve objects on the ground as small as 89 cm across (seeGoogleEarth), and the telescopes on military surveillancesatellitesreportedly can resolve objects as small as 14 cm across.Assumefirst that object resolution is determined entirely byRayleigh'scriterion and is not degraded by turbulence in theatmosphere. Alsoassume that the satellites are at a typicalaltitude of 394 km andthat the wavelength of visible light is 540nm. What would be therequired diameter of the telescope aperturefor(a) 89 cm resolutionand (b) 14cmresolution? (c) Now, considering thatturbulenceis certain to degrade resolution and that the aperturediameter ofthe Hubble Space Telescope is 2.4 m, what can you sayabout theanswer to(b), i.e. is the militarysurveillanceresolution accomplished (1 depicts "yes", 0otherwise)?
(a)
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(c)
You are looking into the headlights of a distant vehicle on anautoroute in France. The driver has shown his resistance to theEuropeanization of Europe by resolutely continuing to use yellowheadlights (wavelength 550. nm). What is the theoretical limit ofangular resolution of your eyes for these headlights when your irishas a diameter of 5.00 mm? (Express your answer in mrad.)If the headlights of the car are separated by 1.80 m, with thisresolution at what distance would you be just be able to tell thatthe vehicle had, in fact, two headlights? (Express your answer inkm.)
