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QPage 97: Q7: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Page 97: Q7 Solution: Newton's law of cooling is a special case of

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently treat Newton's law of cooling as an independent empirical rule and overlook that it is the first‑order Taylor expansion of the Stefan‑Boltzmann law $P=\sigma A(T^4-T_s^4)$ for a small temperature difference, yielding $P\approx hA\Delta T$. Remember to link the $T^4$ dependence to its linear approximation when $\Delta T\ll T$.

Newton's law of cooling is a special case of

Multiple Choice Options

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

Step-by-Step Verified Solution

**Answer:** (c) Stefan's law. **Step-by-Step Explanation:** Newton's law of cooling is a special case of Stefan's law for small temperature differences.

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