A steel bar of cross sectional area `1 cm^(2)` and `50 cm` long at `30^(0)C` fits into the space between two fixed supports.. If the bar `s` now heated to `280^(0)C`, what force will it exert against the supports ? (`*` for steel `= 11 xx 10^(6//0)C` and Young's modulus for steel `= 2 xx 10^(11) N//m^(2)`)

Explanation

To solve the problem of the steel bar exerting force against the supports when heated, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Cross-sectional area \( A = 1 \, \text{cm}^2 = 1 \times 10^{-4} \, \text{m}^2 \)
- Original length \( L = 50 \, \text{cm} = 0.5 \, \text{m} \)
- Initial temperature \( T_1 = 30^\circ C \)
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