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Two binary stars are located at 27.5 pc from Earth. star A has apparent magnitude mA=...

Two binary stars are located at 27.5 pc from Earth. star A has apparent magnitude mA= +2.5, while star B has apparent magnitude mB= +6.2

a) Determine the ratio of their luminosity LA / LB =?

b) Determine absolute magnitude of star B.

c) If the two stars, A & B are unresolved and we see them as one luminous object.Determine the apparent magnitude of stars A & B together, mt=?

d) Determine the diameter D=? of telescope needed to resolve stars A & B and see them as separate objects using visible wavelength 550nm. Assume star A is separated from Star B by 3.52x108 km.

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