If a star with an absolute magnitude of −5 has an apparent magnitude of +5, then its distance is

Question

Quizplus · Accepted Answer

The distance modulus formula, which relates a star's absolute magnitude (M), apparent magnitude (m), and distance in parsecs (d), is given by $m - M = 5 \log_{10}(d) - 5$. Plugging in the given magnitudes (m = +5, M = -5), we get $5 - (-5) = 5 \log_{10}(d) - 5$, which simplifies to $10 = 5 \log_{10}(d) - 5$. Solving for $d$ gives us $d = 10^3 = 1000$ parsecs.

If a Star with an Absolute Magnitude of −5 Has