An observer on Earth measures the apparent brightness of two luminous stars

PHYSICS · Single correct · A Level · Physics · Astrophysics · Astrophysics

Problem

An observer on Earth measures the apparent brightness of two luminous stars. • Star A: radius 1.5R⊙1.5R_{\odot}, surface temperature 7000 K7000\,\text{K}, distance 10 pc10\,\text{pc}. • Star B: radius 3.0R⊙3.0R_{\odot}, surface temperature 5000 K5000\,\text{K}, distance 40 pc40\,\text{pc}. Which statement correctly describes which star appears brighter to the observer and by approximately what factor? (a) Star A appears brighter, by roughly 1515 times. (b) Star A appears brighter, by roughly 44 times. (c) Star A appears brighter, by roughly 88 times. (d) Star B appears brighter, by roughly 1717 times.

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