Question

Six identical conducting rods are joined as shown in the figure. Points A and D are maintained at 200\(^\circ C\) and 20\(^\circ C\) respectively. The temperature of junction B will be

• A. 120\(^\circ C\)
• B. 100\(^\circ C\)
• C. 140\(^\circ C\)
• D. 80\(^\circ C\)

Hint:

In heat conduction, when identical rods are connected, the temperature at any junction is the average of the temperatures at the ends.

Answer 1

The Correct Option is B

Step 1: Understand the principle of heat conduction.
When identical conducting rods are joined, heat flows from the hotter end to the cooler end, and the temperature at the junction is determined by the balance of heat flow.
Step 2: Apply the heat balance principle.
Since the rods are identical, the temperature at junction B will be the average of the temperatures at points A and D: \[ T_B = \frac{T_A + T_D}{2} = \frac{200 + 20}{2} = 100^\circ C \]
Final Answer: \[ \boxed{100^\circ C} \]