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Astronomers have discovered a planetary system orbiting a star, which is at a distance of 3.9...

Astronomers have discovered a planetary system orbiting a star, which is at a distance of 3.9 × 1019 m from the earth. One planet is believed to be located at a distance of 1.9 × 1010 m from the star. Using visible light with a vacuum wavelength of 543 nm, what is the minimum necessary aperture diameter that a telescope must have so that it can resolve the planet and the star?

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The Minimum Necessary Aperture diameter that a telescope must have so that it can resolve the planet and the star is given by

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