You are the leader of the international Event Horizon Telescope, a collaboration of radioastronomers who want to take a picture of the black hole at the center of the Milky Way (Sag. A*).That black hole has a mass of about 4.1 million solar masses and is about 8 kpc away. If you areobserving with a radio wavelength of about 1 mm, what effective diameter of your radiointerferometric array is needed in order to just resolve the diameter of the Sag. A* black hole eventhorizon. (Assume the black hole is non-spinning, so its diameter is twice the event horizon radius.)Express your answer as a multiple of the Earth's radius.[Hint: you will need to recall and combine three formulas introduced throughout this course, includingone about how big a black hole is, one about the criterion for resolving objects, and another that relatesdistance, sizes, and angles.]There really is an Event Horizon Telescope, and they are responsible for the first image of a black hole inthe galaxy M87 (below). Taking a picture of the black hole in our galaxy's center is one of their nextobjectives.]

Given that:Let D is the diameter of the instrument.

Answered: You are the leader of the international…

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