Answer:
Brighter than
Explanation:
m₁ = Apparent magnitude of Capella = 0
m₂ = Apparent magnitude of Polaris = 2
L₁ = Brightness of Capella
L₂ = Brightness of Polaris
From Pogson's ratio
[tex]m_1-m_2=-2.5log_{10} \frac{L_1}{L_2}\\\RIghtarrow 0-2=-2.5log_{10} \frac{L_1}{L_2}\\\Rightarrow \frac{-2}{-2.5}=log_{10} \frac{L_1}{L_2}\\\Rightarrow 0.08=log_{10} \frac{L_1}{L_2}\\\Rightarrow 10^{0.08}=\frac{L_1}{L_2}\\\Rightarrow 1.202=\frac{L_1}{L_2}\\\Rightarrow L_1=1.202\ L_2[/tex]
∴ The brightness of Capella is 1.202 times the brightness of Polaris
