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

One end of a metal rod is kept in a furnce. In steady state, the temperature of the rod

The two ends of a rod of length L and a uniform cross-sectional area A are kept at two temperature T_(1) and T_(2) (T_(1) gt T_(2)) . The rate of heat transfer. (dQ)/(dt) , through the rod in a steady state is given by

Two rods are connected as shown. The rods are of same length and same cross sectional area. In steady state, the temperature (theta) of the interface 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 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 (laterally thermally insulated) of the uniform cross sectional area A consists of a material whose thermal conductivity varies with temperature as K=(K_(0))/(a+bT') where K_(0) , a and b are constants. T_(1) and T_(2)(lt T_(1)) are the temperatures of the ends of the rod. Then, the rate of flow of heat across the rod is

Two ends of a rod of non uniform area of cross section are maintained at temperature T_(1) and T_(2) (T_(1)>T_(2)) as shown in the figure If l is heat current through the cross-section of conductor at distance x from its left face, then the variation of l with x is best represented by

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 .

Two rods A and B of same cross sectional are A and length l connected in series between a source (T_(1) =100^(@)C) and a sink (T_(2) =0^(@)C) as shown in The rod is laterally insulated If A_(A) and T_(B) are the temperature drops across temperature gradients the rod A and B then .