One important goal of astronomers is to have a telescope inspace that can resolve planets like the earth orbiting other stars. If aplanet orbits its star at a distance of 1.5 * 10^11 m (the radius of theearth’s orbit around the sun) and the telescope has a mirror of diameter8.0 m, how far from the telescope could the star and its planet be if thewavelength used was (a) 690 nm and (b) 1400 nm? Use the Rayleighcriterion and give your answers in light-years (1 ly = 9.46 * 1015 m).

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter4: Diffraction
Section: Chapter Questions
Problem 102AP: Radio telescopes are telescopes used for the detection of radio emission from space. Because radio...
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One important goal of astronomers is to have a telescope in
space that can resolve planets like the earth orbiting other stars. If a
planet orbits its star at a distance of 1.5 * 10^11 m (the radius of the
earth’s orbit around the sun) and the telescope has a mirror of diameter
8.0 m, how far from the telescope could the star and its planet be if the
wavelength used was (a) 690 nm and (b) 1400 nm? Use the Rayleigh
criterion and give your answers in light-years (1 ly = 9.46 * 1015 m).

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