Five rods of same dimensions are arranged as shown in the figure. They have thermal conductivities `K _(1) , K_(2) , K _(3) , K_( 4)` and `K_( 5)` . When points A and B are maintained at different temperatures, no heat flows through the central rod if

A. `K_(1)=K_(4)` and `K_(2)=K_(3)`
B. `K_(1)K_(4) = K_(2)K_(3)`
C. `K_(1)K_(2) = K_(3)K_(4)`
D. `(K_(1))/(K_(4))=(K_(2))/(K_(3))`

A. `K_(1)=K_(4)` and `K_(2)=K_(3)`
B. `K_(1)K_(4) = K_(2)K_(3)`
C. `K_(1)K_(2) = K_(3)K_(4)`
D. `(K_(1))/(K_(4))=(K_(2))/(K_(3))`
Correct Answer – B