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An astronomer measures the apparent brightnesses (i.e. flux, or Watts/m^2) of Star A and Star B...

An astronomer measures the apparent brightnesses (i.e. flux, or Watts/m^2) of Star A and Star B to be identical. At the same time, the astronomer measures the parallax (in arcseconds) of Star A to be 5 times larger than that of Star B.

(a) Which star is further away? Express the distance to Star B in terms of the distance to Star A.

(b) Which star has a greater luminosity? Express the luminosity of Star B in terms of the luminosity of Star A.

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