Question

Newton's law of cooling is a special case of

• A. Wien's displacement law
• B. Kirchhoff's law
• C. Stefan's law
• D. Planck's law

Hint:

Newton's law of cooling deals with heat loss by radiation, which is governed by Stefan-Boltzmann's law.

Answer 1

The Correct Option is C

Step 1: Newton's Law of Cooling.
Newton’s law of cooling states that the rate of change of temperature of an object is proportional to the difference between the object’s temperature and the ambient temperature.
Step 2: Stefan's Law.
Stefan-Boltzmann law describes how the energy radiated by a black body is proportional to the fourth power of its temperature (\(T^4\)). The cooling of an object due to radiation can be modeled by this law in the context of temperature difference between the body and its surroundings.
Step 3: Conclusion.
Thus, Newton’s law of cooling is essentially a special case of Stefan's law where the temperature difference is small and the radiation is in the linear regime.
Final Answer: \[ \boxed{\text{Stefan's law}} \]