question_answer

Two rods of same length and areas of cross section \[{{A}_{1}}\] and \[{{A}_{2}}\] have their ends at same temperature. If \[{{K}_{1}}\] and \[{{K}_{2}}\] are their thermal conductivities, \[{{C}_{1}}\] and \[{{C}_{2}}\] their specific heats and \[{{\rho }_{1}}\] and \[{{\rho }_{2}}\] are their densities, then the condition that rate of flow of heat is same in both the rods is -

A) \[{{A}_{1}}/{{A}_{2}}={{K}_{1}}/{{K}_{2}}\]

B) \[{{A}_{1}}/{{A}_{2}}={{K}_{1}}{{C}_{1}}{{\rho }_{1}}/{{K}_{2}}{{C}_{2}}{{\rho }_{2}}\]

C) \[{{A}_{1}}/{{A}_{2}}={{K}_{2}}{{C}_{1}}{{\rho }_{1}}/{{K}_{1}}{{C}_{2}}{{\rho }_{2}}\]

D) \[{{A}_{1}}/{{A}_{2}}={{K}_{2}}/{{K}_{1}}\]