Alpha Centauri, the nearest star to our solar system, is $4\mathrm{.}3$ light years away. Assume that Alpha Centauri has a planet with an advanced civilization. Professor Dhg$,$ at the planet's Astronomical Institute, wants to build a telescope with which he can find out if there are planets orbiting our sun.

Part A

What is the minimum diameter for an objective lens that will just barely resolve Jupiter and the sun? The radius of Jupiter's orbit is $780$ million kmkm$.$ Assume $=570$nm$=570$nm $.$

Express your answer with the appropriate units.

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dmindmin $=$

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