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(D) The relationship between the brightness ratio and the magnitude difference is given by the formula: $\frac{I_1}{I_2} = (100)^{(m_2 - m_1)/5}$.Give

Vedclass · Accepted Answer

$100$ times more bright

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(D) The relationship between the brightness ratio and the magnitude difference is given by the formula: $\frac{I_1}{I_2} = (100)^{(m_2 - m_1)/5}$.Given the magnitude of the bright star $m_1 = -5$ and the reference star $m_2 = 0$.The difference in magnitude is $m_2 - m_1 = 0 - (-5) = 5$.Substituting these values into the formula:$\frac{I_1}{I_2} = 100^{(5/5)} = 100^1 = 100$.Therefore,the bright star is $100$ times brighter than the reference star.

$A$ bright star is indicated to have a brightness magnitude of $-5$ compared to a star of brightness zero magnitude. It means that this star,compared to the reference star of zero brightness,is:

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