Three rods AB, BC and AC having thermal resistances of 10 units, 10 units and 20 units, respectively, are connected as shown in the figure. Ends A and C are maintained at constant temperatures of `100^@C` and `0^@C`, respectively. The rate at which the heat is crossing junction B is

Five identical rods are joined as shown in figure. Point A and C are maintained at temperature 120° C and 20° C respectively. The temperature of junction B will be

Six identical cunducting rods are joined as shown in Fig. Points A and D are maintained at temperatures 200^@C and 20^@C respectively. The temperature of junction B will be

Three rods AB,BC and BD made of the same materical and having the same area of cross section have been joined as shown is the The ends A,C and D are held at temperatures 20^(@)C Cand 80^(@)C respectively If each rod is of same length then find the temperature at the junction B of the three rods .

A metal rod of length 2 m has cross sectional areas 2 A and A as shown in figure. The ends are maintained at temperatures 100° C and 70° C . The temperature at middle point C is

A rod CD of thermal resistance 5.0KW_(-1) is joined at the middle of an identical rod AB as shown in figure. The ends A, B and D are maintained at 100^(@)C , 0(@)C and 25(@)C respectively. Find the heat current in CD.

A circular ring (centre O) of radius a, and of uniform cross section is made up of three different metallic rods AB, BC and CA (joined together at the points A, B and C in pairs) of thermal conductivityies alpha_1 , alpha_2 and alpha_3 respectively (see diagram). The junction A, B and C are maintained at the temperatures 100^@C , 50^@C and 0^@C , respectively. All the rods are of equal lengths and cross sections. Under steady state conditions, assume that no heat is lost from the sides of the rods. Let Q_1 , Q_2 and Q_3 be the rates of transmission of heat along the three rods AB, BC and CA. Then

Three rods AB, BC and BD having thermal conductivities in the ratio 1:2:3 and lengths in the ratio 2:1:1 are joined as shown in Fig. The ends A, C and D are at temperature T_1 , T_2 and T_3 respectively Find the temperature of the junction B. Assume steady state.

A rod CD of thermal resistance 10.0KW^(-1) is joined at the middle of an identical rod AB as shown in figure. The ends A, B and D are maintained at 200^(@)C , 100^(@)C and 125^(@)C respectively. The heat current in CD is P watt. The value of P is __________.

In the figure ABC is a conducting rod whose lateral surfaces are insulated. The length of the section AB is one-half of that of BC, and the respective thermal conductivities of the two sections are as given in the figure. If the ends A and C are maintained at 0^(@)C and 70^(@)C respectively, the temperature of junction B in the steady state is

Three rods are made from the same material and having the same cross-sectional area and length have been joined as shown in the figure. The left end and right end are kept 0^@C and 100^@C , respectively . The temperature of the junction of three rods will be