A steel bar 10.0 cm long is welded end to end to a copper bar 20.0 cm long. Both bars are insulated perfectly on their sides . Each bar has a separate cross-section, 2.00 cm on a side . The free end of the steel bar is maintained at `100^(@)C` by placing it in contact with steam and free end of the copper bar is maintained at `0^(@)C` by placing it in contact with ice . find the temperature at the junction of the two bars and the total rate of heat flow . thermal conductivity of steel `= 50.2 Wm^(-1)K^(-1)`.thermal conductivity of copper `=385 Wm^(-1)K^(-1)`.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the setup
We have a steel bar and a copper bar welded together. The steel bar is 10 cm long and the copper bar is 20 cm long. The ends of the bars are maintained at different temperatures: the steel bar at 100°C and the copper bar at 0°C. We need to find the temperature at the junction of the two bars and the total rate of heat flow.

### Step 2: Identify the given data
- Length of steel bar, \( L_s = 10 \, \text{cm} = 0.10 \, \text{m} \)
- Length of copper bar, \( L_c = 20 \, \text{cm} = 0.20 \, \text{m} \)
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