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 F1F_1 and F2F_2, then their apparent magnitudes m1m_1 and m2m_2 are related as:

m2m1=5log100(F1F2)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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