If the temperature of an object is doubled, how does its thermal radiation change according to the Stefan-Boltzmann law?
Practice Questions
1 question
Q1
If the temperature of an object is doubled, how does its thermal radiation change according to the Stefan-Boltzmann law?
It doubles
It quadruples
It remains the same
It increases eightfold
According to the Stefan-Boltzmann law, if the temperature is doubled, the thermal radiation increases by a factor of 2^4 = 16, not quadruples.
Questions & Step-by-step Solutions
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Q
Q: If the temperature of an object is doubled, how does its thermal radiation change according to the Stefan-Boltzmann law?
Solution: According to the Stefan-Boltzmann law, if the temperature is doubled, the thermal radiation increases by a factor of 2^4 = 16, not quadruples.
Steps: 7
Step 1: Understand the Stefan-Boltzmann law, which states that the thermal radiation emitted by an object is proportional to the fourth power of its absolute temperature (T).
Step 2: Write the formula for thermal radiation: R = σT^4, where R is the thermal radiation and σ is the Stefan-Boltzmann constant.
Step 3: If the temperature (T) is doubled, we replace T with 2T in the formula: R = σ(2T)^4.
