question_answer

Five rods of same dimensions are arranged as shown in the figure. They have thermal conductivities\[50{}^\circ C\]and \[{{K}_{5}}\]. When points A and B are maintained at different temperatures, no heat flows through the central rod if

A) \[{{\operatorname{K}}_{1}}= {{K}_{4}}and {{K}_{2}}={{\operatorname{K}}_{3}}\]

B) \[{{\operatorname{K}}_{1}}{{K}_{4}}\,and {{K}_{2}}\,{{\operatorname{K}}_{3}}\]

C) \[{{\operatorname{K}}_{1}}{{K}_{2}}\,={{K}_{3}}\,{{\operatorname{K}}_{4}}\]

D) \[\frac{{{K}_{1}}}{{{K}_{4}}}=\frac{{{K}_{2}}}{{{K}_{3}}}\]