Problem
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I. The mass of a black hole is 25 solar masses. Calculate its radius?
II. Calculate the absolute magnitude of a star, whose distance is 625 pc and apparent magnitude is 8.25. Is this star intrinsically more/less bright as it appears?
III. Consider two stars A and B. If star A is 10 times hotter than star B but radius of star A is half the star B. Which star is more luminous and by what factor?