Planets X and Y are perfect spheres that radiate as ideal blackbodies at the same…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

Planets X and Y are perfect spheres that radiate as ideal blackbodies at the same uniform surface temperature. Planet Y has twice the radius of Planet X. During any given 10-minute interval, which statement best describes the total energy emitted by the two planets? (a) Planet Y emits twice as much energy as Planet X. (b) Planet Y emits four times as much energy as Planet X. (c) Both planets emit the same amount of energy. (d) Planet Y emits sixteen times as much energy as Planet X.

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