Two rods of the same length and diameter, having thermal conductivities `K_(1)` and `K_(2)`, are joined in parallel. The equivalent thermal conductivity to the combinationk is

Two rods of equal length and diameter but of thermal conductivities 2 and 3 unites respectively are joined in parallel. The thermal conductivity of the combination is:

A slab consists of two layers of different materials of the same thickness and having thermal conductivities K_(1) and K_(2) . The equivalent thermal conductivity of the slab is

Two identical metal wires of thermal conductivities K_(1) and K_(2) respectively are connected in series. The effective thermal conductivity of the combination is :

A slab consists of two parallel layers of two different materials of same thickness having thermal conductivities K_(1) and K_(2) . The equivalent conductivity of the combination is

Two rods of equal length and diameter have thermal conductivite 3 and 4 units respectively. If they are joined in series, the thermal conductivity of the combination in the given units would be

Two plates ofthe same area and the same thickness having thermal conductivities k_(1) and k_(2) are placed one on top of the other. Show that the thermal conductivity of the composite plate for conduction of heat is given by k=(2k_(1)k_(2))/((k_(1)+k_(2))

Three rods of same dimension are joined in series having thermal conductivity k_1 , k_2 and k_3 . The equivalent thermal conductivity is

Statement I: Two solid cylindrical rods of identical size and different thermal conductivity K_1 and K_2 are connected in series. Then the equivalent thermal conductivity of two rods system is less than that value of thermal conductivity of either rod. Statement II: For two cylindrical rods of identical size and different thermal conductivity K_1 and K_2 connected in series, the equivalent thermal conductivity K is given by (2)/(K)=(1)/(K_1)+(1)/(K_2)