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If the active core of a galaxy contains a black hole of \(10^6 \, M_{\odot}\), what will the orbital period be for matter orbiting the black hole at a distance of \(0.41 \, \text{AU}\)? (*Hint:* Use the formula for circular velocity, \( V_c = \sqrt{\frac{GM}{r}} \))

[Answer Box] _____ hr

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This problem can be solved using the formula for circular velocity and then dividing the distance by this velocity.

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