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Estimation and Reasonableness Checks
Worksheet
Grade Level
Physics
12.20 Estimation and Reasonableness Checks
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A hot object's absolute temperature doubles while area and emissivity stay the same. A student says the radiated power doubles. Which scaling check is best?
A
Thermal radiation scales with T, so doubling power is exactly reasonable.
B
Stefan-Boltzmann scaling gives P proportional to T
4
, so doubling T should increase power by 16 times.
C
Radiated power is inversely proportional to T
4
, so it should drop by 16 times.
D
Temperature in kelvins cannot be used for a proportionality check.
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