A)
\[2({{K}_{1}}+{{K}_{2}})\]
B) \[\frac{3}{2}({{K}_{1}}+{{K}_{2}})\]
C) \[({{K}_{1}}+{{K}_{2}})\]
D) \[\frac{1}{2}({{K}_{1}}+{{K}_{2}})\]
Correct Answer: D
Solution :
Two slabs each of length d and same areas and thermal conductivities \[{{K}_{1}}\]and \[{{K}_{2}}\]are connected in parallel, then Heat current \[H={{H}_{1}}+{{H}_{2}}\] \[\frac{K(2A)({{\theta }_{1}}-{{\theta }_{2}})}{d}=\frac{{{K}_{1}}A({{\theta }_{1}}-{{\theta }_{2}})}{d}+\frac{{{K}_{2}}A({{\theta }_{1}}-{{\theta }_{2}})}{d}\] \[\Rightarrow \] \[K=\frac{{{K}_{1}}+{{K}_{2}}}{2}\]
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