A circular hole of diameter 2.00 cm is made in an aluminum are at `0^@C`. What will be the diameter at `100^@C`? `Alpha` for aluminum `=2.3 xx 10^(-5)C^(-1)`.

Explanation

To find the diameter of a circular hole in aluminum at a higher temperature, we can use the formula for linear expansion. The formula for the final diameter \( D_f \) after thermal expansion is given by:

\[ D_f = D_i \times (1 + \alpha \Delta T) \]

Where:
- \( D_i \) = initial diameter
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