Two walls of thicknes `l_(1)` and `l_(2)` and ther-mal condctivities `K_(1)` and `K_(2)` are in contact In the steady state, if the temperature at the outer faces are `T_(1)` and `T_(2)` find the temperature at the common wall .

Two walls of thickness d_(1) and d_(2) and thermal conductivites K_(1) and K_(2) are in contact. In the steady state, if the temperature at the outer surfaces are T_(1) and T_(2) the temperature at the common wall is

Two walls of thickness d and d and thermal conductivities k and k are in contact. In the steady state, if the temperature at the outer T_(1) and T_(2) , the temperature at the common wall is

If two conducting slabs of thickness d_1 and d_2 , and thermal conductivity K_1 and K_2 are placed together face to face as shown in figure in the steady state temperature of outer surfaces are theta_1 and theta_2 . The temperature of common surface is-

In above diagram, a combined rod is formed by connecting two rods of length l_(1) and l_(2) respectively and thermal conductivity k_(1) and k_(2) respectively. Temperature of ends of rods are T_(1) and T_(2) constant, then find the temperature of their contact surface ?

Two plates each of area A thickness L_(1) and L_(2) thermal conductivities K_(1) and K_(2) respectively are joined to from a single plate of thickness (L_(1)+L_(2)) If the temperatures of the free surfaces are theta_(1) and theta_(2) Calculate (a) Rate of flow of heat (b) Temperature of interface .

Consider two rods of equal cross - sectionai area A, one of Aluminium and other of iron joined end to end as shown in figure -4.8. Length of the two rods and their thermal coductivities are l_(1) , k_(1) and l_(2),k_(2) respectively . If the ends of the rods are maintained at temperature T_(1) and T_(2),(T_(1)gt T_(2)) find the temperature of the junction in steady state .

If K _(1) and K_(2) are the rate constants at temperatures T _(1) and T_(2) respectively and E _(a) is the activatino energy, then :

Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures T_(1) = 300K and T_(2) = 100 K , as shown in the figure. The radius of the bigger cylinder is twice that of the smaller one and the thermal conductivities of the materials of the smaller and the larger cylinders are K_(1) and K_(2) respectively. If the temperature at the junction of the two cylinders in the steady state is 200 K, then K_(1)//K_(2)= __________.

Two bars of same length and same cross-sectional area but of different thermal conductivites K_(1) and K_(2) are joined end to end as shown in the figure. One end of the compound bar it is at temperature T_(1) and the opposite end at temperature T_(2) (where T_(1) gt T_(2) ). The temperature of the junction is