In a nebula, the amount of interstellar extinction in the visible wavelength band is 1.1 magnitudes. The thickness of the nebula is estimated to be 16 pc and it is located 458 pc away.
Suppose an ‘F type' spectral star is observed in the direction of the nebula and that the absolute visible magnitude of the star is 0.5 from spectroscopic data. Neglect any other sources of extinction between the source and observer.
(1) Find the apparent visual magnitude m of the star if it is lying in front of the nebula (Answer to three significant figures).