Question

If the areal strain of a wire is 0.5 then the cubical strain of the same wire is

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Answer 1

Explanation:

12.5

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Answer 2

The cubical strain of the wire will be 0.75

Areal strain = 0.5

We know, areal strain = Area changed/ Actual area

Cubical strain = Volume changed / Actual Volume

So, areal strain = l²/L²

     cubical strain = l³ /L³

if the actual length of the wire = L

and increase in length = l

So, areal strain = $\frac{2}{3}$ × cubical strain

Given, areal strain = 0.5

So, cubical strain = $\frac{3}{2}$ × 0.5

                             = 0.75

The cubical strain of the wire will be 0.75