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

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

A rod of length L with sides fully insulated is made of a material whose thermal conductivity K varies with temperature as K=(alpha)/(T) where alpha is constant. The ends of rod are at temperature T_(1) and T_(2)(T_(2)gtT_(1)) Find the rate of heat flow per unit area of rod .

A rod of length L with sides fully insulated is made of a material whose thermal conductivity K varies with temperature as K=(alpha)/(T) where alpha is constant. The ends of rod are at temperature T_(1) and T_(2)(T_(2)gtT_(1)) Find the rate of heat flow per unit area of rod .

A tapering rod of length L has cross sectional radii of a and b(lt a) at its two ends. Its thermal conductivity is k. The end with radius a is maintained at a higher temperature T_(1) and the other end is maintained at a lower temperature T_(2) . The curved surface is insulated. (i) At which of the two points – 1 and 2 – shown in the figure will the temperature gradient be higher? (ii) Calculate the thermal resistance of the rod.

A rod of length l and of a uniform cross-sectional area A is made of a material of non-uniform thermal conductivity. Its thermal conductivity is temperature depenndent and varies as K=(B)/(T) , where B is a constant. If ends of the rod are maintained at constant temperatures T_(1) and T_(2) with T_(1)gt T_(2) , rate of flow of heat in steady state will be :

A rof of length l with thermally insulated lateral surface consists of material whose heat conductivity coefficient varies with temperature as x = alpha//T , where alpha 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 , and the heat flow density.

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

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