Three rods of equal length of same material are joined to form an equivalent triangle `ABC` as shown figure. Area of cross-section of rod `AB` is `S` of rod `BC` is `2S` and that of `AC` is `S` , then

`{:(,"Column-I",,"Column-II"),((A),"Temperature of junction" B,(p),"Greater than" 50^(@)C),((B),"Heat current in" AB,(q),"Less than" 50^(@)C),((C),"Heat current in BC",(r),"Is equal to current in BC"),(,,(s),"Is " 2/3 "times heat current in AC"),(,,(t),"None"):}`

Three rods of equal length of same material are joined to form an equilateral triangle ABC as shown in figure. Area of cross-section of rod AB is S, of rod BC is 2S and that of AC is S. Then match the following.

Three rods A, B and C of the same length and cross- sectional area are joined in series as shown. The temperature at the junction of A and B , in equilibriu, is

Four rods of material X and three rods of material Y are connected as shown in figure. All the rods are of identical lengths and cross-sectional area. Given thermal resistance of rod of material X, R_(x) = R and thermal conductivities of materials are related by relation K_(Y) = 2K_(X) . {:(,"Column-I",,"Column-II"),((A),"Thermal resistance between B and E" ,(p),(500)/(13).^(@)C ),((B),"Thermal resistance between A and F" ,(q),(700)/(13).^(@)C ),((C),"Temperature of junction B" ,(r),(2R)/(3)), ((D),"Temperature of junction D" ,(s),(13R)/(6)):}

Four rods of material X and three rods of material Y are connected as shown in figure. All the rods are of identical lengths and cross-sectional area. Given thermal resistance of rod of material X, R_(x) = R and thermal conductivities of materials are related by relation K_(Y) = 2K_(X) . {:(,"Column-I",,"Column-II"),((A),"Thermal resistance between B and E" ,(p),(500)/(13).^(@)C ),((B),"Thermal resistance between A and F" ,(q),(700)/(13).^(@)C ),((C),"Temperature of junction B" ,(r),(2R)/(3)), ((D),"Temperature of junction D" ,(s),(13R)/(6)):}

Four rods of material X and three rods of material Y are connected as shown in figure. All the rods are of identical lengths and cross-sectional area. Given thermal resistance of rod of material X, R_(x) = R and thermal conductivities of materials are related by relation K_(Y) = 2K_(X) . {:(,"Column-I",,"Column-II"),((A),"Thermal resistance between B and E" ,(p),(500)/(13).^(@)C ),((B),"Thermal resistance between A and F" ,(q),(700)/(13).^(@)C ),((C),"Temperature of junction B" ,(r),(2R)/(3)), ((D),"Temperature of junction D" ,(s),(13R)/(6)):}

Three rods of equal lengths are joined to form an equilateral triangle ABC. D is the mid-point of AB. The coefficient of linear expansion is alpha_1 , for material of rod AB and alpha_2 , for material of rods of rods AC and BC. If the distance DC remains constant for small changes in temperature, then

Current I is following through a wire of non-uniform cross-section as shown. Match the following columns. {:(,"Column I",,"Column II"),((A),"Current density",(p),"More at section 1 than 2"),((B),"Electric field",(q),"More at section 2 than 1"),((C ) , "Resistance per unit length",(r ),"Same at both section 1 and 2 "),((D ), "Potential difference per unit length",(s),"Data insufficient"):}

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.