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Physics 52 Prof Test 2s-Key

# Physics 52 Prof Test 2s-Key - 3.36 x 10-6(180/pi 60 60 =...

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Physics 52 Proficiency Test 2(Sample) (Time: 10 minutes) 25 points By Todd Sauke Name ________ KEY _____________ Section # __ KEY ___ Consider a fairly typical backyard telescope with an aperture of 20 cm (about 8 inches) and a mirror of focal length 1.2 meters (about 48 inches, or 4 feet). What is the f-number of this optical system? f-number = focal length / aperture diameter = 1.2 / .2 = 6 __________ 6 ___________________ What is the maximum angular resolution (using the Rayleigh criterion and 550 nm light) for this telescope? θ Rayleigh = 1.22 λ / D = 1.22 * (550 x 10 -9 ) / .2 = 3.36 x 10 -6 _________ 3.36 x 10 -6 ____________ radians What is this angular resolution in arc seconds? (One degree has 60 arc minutes and one arc minute has 60 arc seconds)
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Unformatted text preview: 3.36 x 10-6 * (180/pi) * 60 * 60 = 0.69 arc seconds _________ 0.69 ___________________ arc seconds Notice the comparison of this value to the typical atmospheric resolution limits of 0.4 arc seconds (great mountaintop site) and about 1.0 arc seconds (good for an average astronomical site). What size on the image plane does this angle correspond to? (Express your answer in terms of micrometers.) y = f * θ = 1.2 * 3.36 x 10-6 = 4.032 x 10-6 ___________ 4.0 __________________ μ m Notice the comparison of this value to the typical size of a single pixel of a CCD sensor for a camera, about 3 to 8 μ m....
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