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What is the linear expansion of a solid?

Question

What is the linear expansion of a solid?

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Solution

Linear expansion refers to the increase in length of a solid material when its temperature is raised. It is governed by the material's coefficient of linear expansion, which is a measure of how much a material expands per degree change in temperature.

Here are the steps to calculate linear expansion:

  1. Identify the initial length of the object (L1), the initial temperature (T1), and the final temperature (T2).

  2. Determine the coefficient of linear expansion (α) for the material. This value is usually provided in tables in textbooks or online.

  3. Use the formula for linear expansion to calculate the change in length (ΔL): ΔL = α * L1 * ΔT, where ΔT is the change in temperature (T2 - T1).

  4. To find the final length (L2) of the object, add the change in length to the initial length: L2 = L1 + ΔL.

Remember, this is a simplified model. In reality, the coefficient of linear expansion can change with temperature, and extreme temperatures can cause materials to behave in non-linear ways.

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