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MHT CET · Physics · Thermal Properties of Matter

The two ends of a rod of length ' x ' and uniform cross-sectional area ' A ' are kept at temperatures ' \(T_1\) ' and ' \(T_2\) ' respectively ( \(T_1>T_2\) ). If the rate of heat transfer is ' \(Q / t\) ', through the rod in steady state, then the coefficient of thermal conductivity ' K ' is

  1. A \(\frac{\mathrm{AQ}}{\operatorname{tx}\left(\mathrm{T}_1-\mathrm{T}_2\right)}\)
  2. B \(\frac{x Q}{t A\left(T_1-T_2\right)}\)
  3. C \(\frac{\mathrm{xAQ}}{\mathrm{t}\left(\mathrm{T}_1-\mathrm{T}_2\right)}\)
  4. D \(\frac{\mathrm{Q}}{\operatorname{txA}\left(\mathrm{T}_1-\mathrm{T}_2\right)}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{x Q}{t A\left(T_1-T_2\right)}\)

Step-by-step Solution

Detailed explanation

\( K = \frac{Qx}{tA(T_1 - T_2)} \)