Two bodies at different temperatures `T_1 and T_2` , if brought in thermal contact do not necessarily settle to the mean temperature `(T_1 + T_2)//2` Explain.

Explanation

To explain why two bodies at different temperatures \( T_1 \) and \( T_2 \) do not necessarily settle to the mean temperature \( \frac{T_1 + T_2}{2} \) when brought into thermal contact, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Heat Transfer**:
When two bodies at different temperatures are brought into thermal contact, heat will flow from the hotter body (at temperature \( T_1 \)) to the colder body (at temperature \( T_2 \)). This process continues until thermal equilibrium is reached, meaning both bodies will eventually reach a common final temperature \( T_f \).

2. **Heat Exchange Equation**:
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