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AP Physics 2
15.4 Blackbody Radiation
AdvancedMCQMathematical20.7k
A black-and-white 2D Cartesian plot of spectral intensity versus wavelength. The horizontal axis is labeled Wavelength \(\lambda\text{ (nm)}\) with evenly spaced numerical ticks at 0, 200, 400, 600, 800, 1000, and 1200. The vertical axis is labeled Spectral Intensity (arbitrary units) with no numerical ticks. Vertical gray dashed gridlines align with each tick along the horizontal axis. Two curves start at the origin (0,0). A solid curve labeled Star \(X\) rises steeply to a maximum peak at the horizontal coordinate 400, then smoothly descends toward zero as wavelength increases to 1200. A dashed curve labeled Star \(Y\) rises more gradually to a lower maximum peak at the horizontal coordinate 800, then smoothly descends toward zero past 1200. No other curves, labels, or construction marks appear.
Spectral intensity versus wavelength for Star \(X\) and Star \(Y\).
The graph shows the spectral intensity as a function of wavelength for radiation emitted by two distant spherical stars, Star \(X\) and Star \(Y\), which act as ideal blackbodies. Star \(X\) has a radius equal to half the radius of Star \(Y\) (\(R_X = 0.5 R_Y\)). Based on the graph, what is the ratio of the total power radiated by Star \(X\) to the total power radiated by Star \(Y\), \(\dfrac{P_X}{P_Y}\)?

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