ISRO Mechanical & Aerospace 2010 - Question 1

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If thermal conductivity of a material of wall varies as $k_0 (1 - \alpha T)$, the temperature at the center of the wall will be ($\alpha$ is +ve)

  • A. Depends on other factors
  • B. More than that in case of constant thermal conductivity
  • C. Less than that in case of constant thermal conductivity
  • D. None of the above

Answer: C. Less than that in case of constant thermal conductivity

Explanation: With positive $\alpha$, k decreases as T increases. This non-linearity results in a temperature profile that bows downwards compared to the linear profile of constant k.

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