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QPages 97-98: Q6: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 97-98: Q6 Solution: A solid sphere and a hollow sphere of the same material and of…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume that equal surface area and temperature mean equal cooling rates. However, the rate of temperature change depends on the sphere’s heat capacity, which is larger for the solid sphere because it has more mass. Thus the solid sphere cools more slowly, so $dT/dt=- rac{P}{mc}$ differs between the two.

A solid sphere and a hollow sphere of the same material and of equal radii are heated to the same temperature.

Multiple Choice Options

  • A Both will emit equal amount of radiation per unit time in the beginning.
  • B Both will absorb equal amount of radiation from the surrounding in the beginning.
  • C The initial rate of cooling dT/dt) will be the same for the two spheres.
  • D The two spheres will have equal temperature at any instant.

Step-by-Step Verified Solution

**Answer:** (a), (b). **Step-by-Step Explanation:** Both spheres have the same surface area and temperature, so they emit and absorb equal radiation initially.

All Questions in this Chapter

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