Apparent Magnitude of Brightness

Algebra Level 5

The apparent magnitude of a celestial object is a measure of its brightness as perceived by an observer on Earth. If the brightness of two celestial bodies is $F_1$ and $F_2$ , then their apparent magnitudes $m_1$ and $m_2$ are related as:

$m_2 - m_1 = 5 \log_{100} \left( \frac{F_1 }{F_2 }\right)$

Spica (the brightest star in Virgo) has apparent magnitude 1.04. If Sirius (the brightest star in the night sky) appears 10 times brighter then Spica, then what is the apparent magnitude of Sirius?

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