Figure shown two adiabatic vessels, each containing a mass m of water at different temperature. The ends of a metal rod of length L, area of cross section. A and thermal conductivity K, are inserted in the water as shown in the figure. Find the time taken for the difference between the temperature in the vessels to become half of the original value. The specific heat capacity of water is s. Neglect the heat capacity of the rod and the container and any loss of heat top the atmosphere.

Figure shows a large tank of water at a constant temperature theta_(0) and a small vessel containing a mass m of water at an initial temperature theta_1 (lt theta_(0)) . A metal rod of length L , area of cross section A and thermal conductivity K connects the two vessels. Find the time taken for the temperature of the water in the smaller vessel to become theta_(2) (theta_(1)lt theta_(2)lt theta_(0)) . Specific heat capacity of water is s and all other heat capacities are negligible.

Figure shows a large tank of water at a constant temperature theta_(0) and a small vessel containing a mass m of water at an initial temperature theta_1 (lt theta_(0)) . A metal rod of length L , area of cross section A and thermal conductivity K connects the two vessels. Find the time taken for the temperature of the water in the smaller vessel to become theta_(2) (theta_(1)lt theta_(2)lt theta_(0)) . Specific heat capacity of water is s and all other heat capacities are negligible.

Figure shows a large tank of water at a constant temperature theta_(0) . and a small vessel containinng a mass m of water at an initial temperature theta(lttheta_(0). A metal rod of length L, area of cross section A and thermal conductivity K connect the two vessels. Find the time taken for the temperature of the water in the smaller vessel to become theta_(2)(theta_(1)lttheta_(2)lttheta_(0)) . Specific heat capacity of water is s and all other heat capacities are negligible.

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 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 "

Thermal conductivity of coppe is 9 times that of steel. As shown in figure the temperature difference between ends of copper and steel is 100^(@)C . Find the temperature of their contact surface.

Three rods of equal length, area of cross section and thermal conductivity are connected as shown in the figure. There is no heat loss through lateral surface of the rods and temperature of ends are T_(A)=100^(@)C, T_(B)=70^(@)C and T_(C)=50^(@)C . Find the temperature of junction.