Math Problem Statement
Suppose you wanted to build a telescope capable of resolving a planet the size of Earth that is 18 light-years away. a. Calculate the angular diameter of Earth if it were that far. To see any detail on the surface, we would want to see an angular size about ten times smaller than this. b. Calculate the diameter of a telescope that would be needed to resolve this angular size if observing at 560 nm. Is this feasible? a. The angular diameter is × 10-9 degree. b. The diameter of the telescope would have to be D = km. It (Click to select) is is not feasible to build a telescope this size.
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Optics
Astronomy
Formulas
Angular diameter formula: theta = d / D
Angular resolution formula: theta_res = 1.22 * lambda / D
Theorems
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Suitable Grade Level
Advanced College
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