Four identical heat conductors are connected as shown in the...

Four identical heat conductors are connected as shown in the figure. The temperature

\theta

of the junction is [rods are insulated from the sides]

Four identical heat conductors are connected as shown in the figure. The temperature θ of the junction is [rods are

Four identical heat conductors are connected as shown in the figure. The temperature θ of the junction is [rods are

Options

A $30 ° \text{C}$
B $15 ° \text{C}$
C $60 ° \text{C}$
D $70 ° \text{C}$

Correct answer

C. $60 ° \text{C}$

Step-by-step solution

The thermal resistance of each rod is same as all are identical

\dfrac{\theta - 20}{R} + \dfrac{\theta - 40}{R} + \dfrac{\theta - 80}{R} + \dfrac{\theta - 100}{R} = 0

4\theta - 240 = 0

4\theta = 240

\theta = 60

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