A rod of length l and cross sectional area A has a variable conductivity given by `K=alphaT`, where `alpha` is a positive constant T is temperatures in Kelvin. Two ends of the rod are maintained at temperatures `T_1` and `T_2(T_1gtT_2)`. Heat current flowing through the rod will be

A rod of length l and cross-section area A has a variable thermal conductivity given by K = alpha T, where alpha is a positive constant and T is temperature in kelvin. Two ends of the rod are maintained at temperature T_(1) and T_(2) (T_(1)gtT_(2)) . Heat current flowing through the rod will be

Two ends of a rod of uniform cross sectional area are kept at temperature 3T_(0) and T_(0) as shown. Thermal conductivity of rod varies as k=alphaT , (where alpha is a constant and T is absolute temperature). In steady state, the temperature of the middle section of the rod is

A rod of length l with thermally insulated lateral surface consists of material whose heat conductivity coefficient varies with temperature as k= a//T , where a is a constant. The ends of the rod are kept at temperatures T_1 and T_2 . Find the function T(x), where x is the distance from the end whose temperature is T_1 .

If K_1 is the equilibrium constant at temperature T_1 and K_2 is the equilibrium constant at temperature T_2 and If T_2 gt T_1 and reaction is endothermic then

Two bodies of masses m_(1) and m_(2) and specific heat capacities S_(1) and S_(2) are connected by a rod of length l , cross-section area A , thermal conductivity K and negligible heat capacity. The whole system is thermally insulated. At time t=0 , the temperature of the first body is T_(1) and the temperature of the second body is T_(2)(T_(2)gtT_(1)) . Find the temperature difference between the two bodies at time t .

Two bodies of masses m_(1) and m_(2) and specific heat capacities S_(1) and S_(2) are connected by a rod of length l, cross-section area A, thermal conductivity K and negligible heat capacity. The whole system is thermally insulated. At time t=0 , the temperature of the first body is T_(1) and the temperature of the second body is T_(2)(T_(2)gtT_(1)) . Find the temperature difference between the two bodies at time t.

Eleven identical rods are arranged as shown in Fig. Each rod has length l , cross sectional area A and thermal conductivity of material k. Ends A and F are maintained at temperatures T_1 and T_2(ltT_1) , respectively. If lateral surface of each rod is thermally insulated, the rate of heat transfer ((dQ)/(dt)) in each rod is

A metal rod of length l, cross-sectional area A, Young's modulus Y and coefficient of linear expansion alpha is heated to t^(@)C . The work that can be performed by the rod when heated is

Four identical rods AB, CD, CF and DE are joined as shown in figure. The length, cross-sectional area and thermal conductivity of each rod are l, A and K respectively. The ends A, E and F are maintained at temperature T_(1) , T_(2) and T_(3) respectively. Assuming no loss of heat to the atmosphere, find the temperature at B.

Four identical rods AB, CD, CF and DE are joined as shown in figure. The length, cross-sectional area and thermal conductivity of each rod are l, A and K respectively. The ends A, E and F are maintained at temperature T_(1) , T_(2) and T_(3) respectively. Assuming no loss of heat to the atmosphere, find the temperature at B .