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What is the relation between coefficient of area expansion (α) and coefficient of volume expansion(γ)?Question 13Answera.α = 1.5 γb.γ = 1.5 αc.α = 3 γd.γ = 3 α

Question

What is the relation between coefficient of area expansion (α) and coefficient of volume expansion(γ)?

Question 13 Answer
a. α = 1.5 γ
b. γ = 1.5 α
c. α = 3 γ
d. γ = 3 α

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Solution

The coefficient of volume expansion (γ) is approximately three times the coefficient of linear expansion (α). This is because volume is a three-dimensional quantity, and each dimension contributes to the overall expansion of the volume.

However, the question asks about the relationship between the coefficient of area expansion and the coefficient of volume expansion. The coefficient of area expansion is approximately two times the coefficient of linear expansion (α), because area is a two-dimensional quantity.

Therefore, the relationship between the coefficient of area expansion (α) and the coefficient of volume expansion (γ) is:

γ = 3α

So, the correct answer is d. γ = 3α.

This problem has been solved

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