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QPage 97: Q3: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Page 97: Q3 Solution: A solid at temperature is kept in an evacuated chamber at…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently apply Newton's law of cooling (rate ∝ $T_2-T_1$) to an evacuated chamber, overlooking that heat transfer occurs solely by radiation, which follows the Stefan‑Boltzmann law; the net radiative power is $σA\,(T_2^4-T_1^4)$, so the temperature rise rate is proportional to the fourth‑power temperature difference, not the linear one.

A solid at temperature T1T_1 is kept in an evacuated chamber at temperature T2>T1T_2 > T_1. The rate of increase of temperature of the body is proportional to

Multiple Choice Options

  • A T2−T1T_2 - T_1
  • B T22−T12T_2^2 - T_1^2
  • C T23−T13T_2^3 - T_1^3
  • D T24−T14T_2^4 - T_1^4

Step-by-Step Verified Solution

**Answer:** (d) T__ - T__. **Step-by-Step Explanation:** The net rate of heat loss by radiation is proportional to (T__ - T__) by Stefan's law.

All Questions in this Chapter

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