Two chunks of metal with heat capacities `C_(1)` and `C_(2)`, are interconnected by a rod length `l` and cross-sectional area `S` and fairly low heat conductivity `K`. The whole system is thermally insulated from the environment. At a moment `t = 0` the temperature difference betwene the two chunks of metal equals `(DeltaT)_(0)`. Assuming the heat capacity of the rod to be negligible, find the temperature difference between the chucks as a function of time.

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.

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-ssection area A, thermal conductivity K and negligible heat capacity. The whole system is thermally insulated. At time t=0 , the temperature of the fisrt 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.

" A metal rod of area of cross section A has length L and coefficient of thermal conductivity K The thermal resistance of the rod is "

A metal rod of area of cross section A has length L and coefficient of thermal conductivity K the thermal resistance of the rod is .

Two adiabatic vessels, each containing the same mass m of water but at different temperatures, are connected by a rod of length L, cross-section A, and thermal conductivity K. the ends of the rod are inserted into the vessels, while the rest of the rod is insulated so that .there is negligible loss of heat into the atmosphere. The specific heat capacity of water is s, while that of the rod is negligible. The temperature difference between the two vessels reduces to l//e of its original value after a time, delta t . The thermal conductivity (K) of the rod may be expressed by:

A metal rod of length 'L' and cross-sectional area 'A' is heated through 'T'^(@)C What is the force required to prevent the expansion of the rod lengthwise ?