4. The stellar magnitude scale compares the brightness of stars using the equation bl m. - m. 2 lug , b?) where rm and me are the apparent magnitudes of the two stars being compared (haw bright they appear in the sky) and b1 and b2 are their brightness (how much light they actually emit). This relationship does not factor in how far from Earth the stars are. a) Sirius is the brightest-appearing star in our sky, with an apparent magnitude of -1.5. How much brighter does Sirius appear than Betelgeuse, whose apparent magnitude is 0.12? b) The Sun appears about 1.314010 times as brightly in our sky as does Sirius. What is the apparent magnitude of the Sun? [5]