Problem 3. The first diffraction minimum for a circular aperture (compare with a single slit) is sin 0 - 1.22A/D where D is the diameter of the aperture. (a) What is the diffraction-limited angular resolution (in arcminutes) of a human eye, with 4 mm pupil, for 500 nm light? (The actual resolution of human vision, set by the density of light-sensitive cells on the retina, is approximately 1 arcminute.) (b) What diameter circular telescope would you need to resolve a US flag on the surface of the Moon, viewed from Earth? (Look up any numbers you need.)

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Chapter1: Units, Trigonometry. And Vectors
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Problem 3. The first diffraction minimum for a circular aperture (compare with a single slit) is
sin 0 - 1.22A/D where D is the diameter of the aperture.
(a) What is the diffraction-limited angular resolution (in arcminutes) of a human eye, with 4
mm pupil, for 500 nm light? (The actual resolution of human vision, set by the density of
light-sensitive cells on the retina, is approximately 1 arcminute.)
(b) What diameter circular telescope would you need to resolve a US flag on the surface of the
Moon, viewed from Earth? (Look up any numbers you need.)
Transcribed Image Text:Problem 3. The first diffraction minimum for a circular aperture (compare with a single slit) is sin 0 - 1.22A/D where D is the diameter of the aperture. (a) What is the diffraction-limited angular resolution (in arcminutes) of a human eye, with 4 mm pupil, for 500 nm light? (The actual resolution of human vision, set by the density of light-sensitive cells on the retina, is approximately 1 arcminute.) (b) What diameter circular telescope would you need to resolve a US flag on the surface of the Moon, viewed from Earth? (Look up any numbers you need.)
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