Star A and Star B behave like ideal blackbodies

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

Star A and Star B behave like ideal blackbodies. Star A shows a peak emission at 450 nm450\,\text{nm}, while Star B peaks at 600 nm600\,\text{nm}. If the radius of Star A is twice that of Star B, what is the ratio of the total power radiated from the entire surface of Star A to that of Star B? (a) 649 (≈7.1)\dfrac{64}{9}\,(\approx 7.1) (b) 102481 (≈12.6)\dfrac{1024}{81}\,(\approx 12.6) (c) 25681 (≈3.2)\dfrac{256}{81}\,(\approx 3.2) (d) 51281 (≈6.3)\dfrac{512}{81}\,(\approx 6.3)

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