Stefan-Boltzmann Law states that the total amount of energy emited by a blackbody is proportional to the temperature of the blackbody in Kelvin ...

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The question presents the Stefan-Boltzmann Law focus: 'Stefan-Boltzmann Law states that the total amount of energy emitted by a blackbody is proportional to the temperature of the blackbody in Kelvin ...' 
Option 1: 'raised to the fourth power' — This matches the well-known law where the total emitted power (per unit area) is proportional to T^4. The mathematical form is P ∝ T^4, so the temperature dependence is indeed to the fourth power.
Option 2: 'squared' — If the dependence were T^2, that would imply P ∝ T^2, which would describe a linear or quadratic relation, not the fourth-power dependence established by Stefan-Boltzmann. This is not correct for blackbody radiation.
Option 3: 'raised to the third power' — A T^3 dependence would indicate a cubic relationship, which does not align with the Stefan-Boltzmann result. This option misstates the exponent required by the law.
Option 4: 'raised to the fifth power' — A T^5 relationship would be even steeper than T^4, which is not what the Stefan-Boltzmann Law prescribes. This is incorrect for the total emitted energy from a blackbody.
In summary, the correct characterization is that the emitted energy scales with the temperature to the fourth power, while the other exponents (2, 3, or 5) do not reflect the established relationship.

CLMT5001 Dynamics PRACTICE QUIZ: Week 2 Lecture 1

Stefan-Boltzmann Law states that the total amount of energy emited by a blackbody is proportional to the temperature of the blackbody in Kelvin ...

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