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AP Physics 2
15.4 Blackbody Radiation
IntermediateMCQProportional AnalysisConceptual17.1k
A graph of blackbody radiation intensity versus wavelength \(\lambda\). The horizontal axis is labeled Wavelength \(\lambda \text{ (nm)}\) with numerical tick marks at 200, 400, 600, 800, and 1000. The vertical axis is labeled Intensity \(I\) without numerical values. Two smooth blackbody curves are shown. Curve X rises from the origin, reaches its maximum height at wavelength \(\lambda = 400 \text{ nm}\), and decays toward longer wavelengths. Curve Y rises to a lower maximum height at wavelength \(\lambda = 600 \text{ nm}\) and decays toward longer wavelengths. A vertical dashed line connects the peak of Curve X to the tick mark at 400, and a vertical dashed line connects the peak of Curve Y to the tick mark at 600. Curve X is labeled Star X near its peak, and Curve Y is labeled Star Y near its peak. No other labels, lines, text, or axes appear.
Radiation intensity as a function of wavelength for Star X and Star Y.
An astronomer analyzes the intensity spectra of blackbody radiation emitted by two stars, Star X and Star Y. As shown in the graph, the spectrum for Star X reaches peak intensity at a wavelength of \(\lambda_X = 400 \text{ nm}\), while the spectrum for Star Y reaches peak intensity at a wavelength of \(\lambda_Y = 600 \text{ nm}\). What is the ratio \(\dfrac{T_X}{T_Y}\) of the absolute surface temperature of Star X to the absolute surface temperature of Star Y?

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