Question

When a telescope is pointed to two stars in turn, the received power is 5·3 × 10−14 W and 3·9 × 10−14 W. What is the difference in apparent magnitude of these stars?

Answer 1

Answer on question #54959, Physics / Astronomy — Astrophysics

Question When a telescope is pointed to two stars in turn, the received power is $5.3\cdot 10^{14}$ W and $3.910^{14}$ W. What is the difference in apparent magnitude of these stars?

Solution From relation of brightness we can find difference in apparent magnitude as

$m_{1}-m_{2}=-2.5\log_{10}\left(\frac{F_{1}}{F_{2}}\right)=-2.5\log_{10}\left(\frac{5.3}{3.9}\right)\approx-0.333$

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