1.

A rod of length I (laterally thermally insulated) of uniform cross-sectional area A consists of a material whose thermal conductivity varies with temperature as \[K=\frac{{{k}_{0}}}{a+bT},\] where, \[{{k}_{0}},\] a and b are constants. \[{{T}_{1}}\] and \[{{T}_{2}}(

A. \[\frac{A{{k}_{0}}}{bl}\left[ \frac{a+b{{T}_{1}}}{a+b{{T}_{2}}} \right]\]
B. \[\frac{A{{k}_{0}}}{bl}\left[ \frac{a+b{{T}_{2}}}{a+b{{T}_{1}}} \right]\]
C. \[\frac{A{{k}_{0}}}{bl}\ln \left[ \frac{a+b{{T}_{1}}}{a+b{{T}_{2}}} \right]\]
D. \[\frac{A{{k}_{0}}}{al}\ln \left[ \frac{a+b{{T}_{2}}}{a+b{{T}_{1}}} \right]\]
Answer» D. \[\frac{A{{k}_{0}}}{al}\ln \left[ \frac{a+b{{T}_{2}}}{a+b{{T}_{1}}} \right]\]


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