Two rods of same length and cross-section are joined along their length. The thermal conductivities of the first and second rods are $K_1$ and $K_2$,respectively. The temperatures of the free ends of the first and second rods are maintained at $\theta_1$ and $\theta_2$,respectively. The temperature of the common junction is:
- A$\frac{\theta_1 + \theta_2}{2}$
- B$\frac{K_1 K_2}{K_1 + K_2}(\theta_1 + \theta_2)$
- C$\frac{K_1 \theta_1 + K_2 \theta_2}{K_1 + K_2}$
- D$\frac{K_2 \theta_1 + K_1 \theta_2}{K_1 + K_2}$
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