What diameter telescope is needed to resolve the separation between an Earth-like planet and its star at 550 nm if the linear separation between them is 1 AU and the star system is 1 pc from Earth? (Give your answer in m.)

What diameter telescope is needed to resolve the separation between an Earth-like planet and its star at 550 nm if the linear separation between them is 1 AU and the star system is 1 pc from Earth? (Give your answer in m.)

Foundations of Astronomy (MindTap Course List)

14th Edition

ISBN:9781337399920

Author:Michael A. Seeds, Dana Backman

Publisher:Michael A. Seeds, Dana Backman

Chapter3: Moon Phases And Eclipses

Section: Chapter Questions

Problem 13P

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What diameter telescope is needed to resolve the separation between an Earth-like planet and its star at 550 nm if the linear separation between them is 1 AU and the star system is 1 pc from Earth?
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E A X M Inbo b Last Class N Netf + Prob Logir | X Math M Inbo Good #3 Mail y! CVX ET Wha 4 Grou EHL 4 fre G neve docs.google.com/document/d/1UpdqZs7NIZ-YyjMagyW1hbk0T5S2ZUBluFm-OB5PACA/edit M AST1002001FALL2017PS7 ☆ A Request edit access Share File Edit View Tools Help Problem 3. Brightness and Luminosity 31 The brightness or flux intensity of a star at an observer's location may be determined by measuring the rate at which its light enters the aperture of an observing instrument (this is referred to as photometry). We will call this "" (with units [Energy/time/Area] or [Watts/Area]). Imagine a sphere of radius, d (labeled "p" in the figure below), equal to the star's distance from the observer's location, at which the star is at the center (see the figure below). ALL of the star's light passes through the surface area of this sphere but only a small fraction passes through the instrument aperture. The fraction of the star's rate of light energy emission measured by the instrument is…
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