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AP Physics 2
15.4 Blackbody Radiation
AdvancedMCQProportional AnalysisConceptual23.5k
A line graph showing relative intensity versus wavelength in nanometers. The horizontal axis is labeled Wavelength \(\lambda \text{ (nm)}\) with marked values 0, 300, 600, 900, 1200. The vertical axis is labeled Relative Intensity \(I\). Two blackbody curves start at the origin: Curve A (solid line, labeled Star A) rises sharply to a peak at \(\lambda = 300 \text{ nm}\) before decaying to the right; Curve B (dashed line, labeled Star B) rises to a lower peak at \(\lambda = 600 \text{ nm}\) before decaying to the right. Thin vertical dashed projection lines drop from the peak of Curve A to 300 nm on the horizontal axis, and from the peak of Curve B to 600 nm on the horizontal axis. No other text or labels appear.
Emission spectra for Star A and Star B.
An astronomer analyzes the thermal radiation spectra of two distant spherical stars, Star \(A\) and Star \(B\), as shown in the graph of relative intensity versus wavelength. Star \(A\) has a radius of \(R\), while Star \(B\) has a radius of \(2R\). Based on the spectra, what is the ratio \(P_A / P_B\) of the total power radiated by Star \(A\) to the total power radiated by Star \(B\)?

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