Three rods of the same length and the same area of the cross-section are joined. The temperature of two ends one T 1 and T 2 as shown in the figure. As we move along the rod the variation of temperature are as shown in the following [Rods are insulated from the surrounding except at the faces]

Step-by-step solution

K 1 A tan ⁡ 30 ° = K 2 A tan ⁡ 45 ° = Κ 3 A tan ⁡ 60 ° ⇒       K 1 tan ⁡ 30 ° = K 2 tan ⁡ 45 ° = K 3 tan ⁡ 60 ° ⇒       K 1 3 3 = K 2 3 = K 3 3         ⇒   K 1 3 = K 2 3 = K 3 1