If star A is 14.5 times brighter than star B, then what is their magnitude difference? A) 1.2 B) 2.9 C) 63.1 D) 800 E) 6.2 x 10⁵

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Quizplus · Accepted Answer

The magnitude difference between two stars can be calculated using the formula $m_1 - m_2 = -2.5 \log_{10}(\frac{L_1}{L_2})$, where $L_1$ and $L_2$ are the luminosities (or brightnesses) of the stars. Substituting $L_1 = 14.5L_2$ into the formula gives $m_1 - m_2 = -2.5 \log_{10}(14.5)$, which approximately equals 2.9.

If Star a Is 14