Which of the following is the correct relation between the coefficient of linear expansion (αL) and the coefficient of volumetric expansion (αV)?
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A.
αL = αV/2
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B.
αL = 2αV
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C.
αL = αV/3
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D.
αL = 3αV
Correct Answer:
C. αL = αV/3
Explanation:
The coefficient of linear expansion (αL) measures the change in length of a material per unit length per degree change in temperature. In contrast, the coefficient of volumetric expansion (αV) measures the change in volume per unit volume per degree change in temperature. For isotropic solids, which expand uniformly in all three spatial dimensions, the volumetric expansion is approximately three times the linear expansion. This relationship is mathematically expressed as αV = 3αL, or conversely, αL = αV/3. Therefore, the correct relation is αL = αV/3.
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