Consider the 6 idential rods as shown in figure, the conductivity of x is double that of y. The temperatre of the junciton B is

Consider the 6 idential rods as shown in figure, the conductivity of x

1.	Consider the 6 idential rods as shown in figure, the conductivity of x is double that of y. The temperatre of the junciton B is
Answer» `30^(@)C` `40^(@)C` `50^(@)C` `20^(@)C` Solution :(2) `K_(x) = 2 K, K_(y) = K` `R_(x) = R, R_(y) = 2 R` Let temperature of `B` is `theta`. Current will flow in the ROD `DE` `i= (60 - theta)/(R ) = (theta - 10)/((3R)/(2))` `180 - 3 theta = 2 theta - 20` `5 theta = 200` `theta = 40^(@)C`