The star Sirius has an apparent magnitude of -1.46 and appears 95-times brighter compared to the more distant star Tau Ceti, which has an absolute magnitude of 5.69. Find the distance between the Earth and Tau Ceti.

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Asked by Rishabh | 19 Jun, 2020, 11:43: AM

Expert Answer

m subscript 2 minus m subscript 1 equals negative 2.51 log fraction numerator 95 B over denominator B end fraction minus 1.49 minus m subscript 1 equals negative 4.96 m subscript 1 equals 3.47 N o w space a b s o l u t e space m a g n i t u d e space o f space T a u space C e t i space i s space 5.69 U sin g space f o r m u l a space M subscript v equals m minus 2.5 log open parentheses d over 10 close parentheses squared 5.69 equals 3.47 minus 2.5 log open parentheses d over 10 close parentheses squared O n space c a l c u l a t i n g space w e space g e t space d equals 3.6 p a r c e c s

Answered by Utkarsh Lokhande | 24 Jun, 2020, 03:49: PM

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