A body undergoes no change in volume when it is subjectedto tensile force, then, what is the Poisson ratio
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When a body subjected to a tensile force and it is undergoes no change in volume then the Poisson’s ratio is 0.5.
Explanation:
We have the formula,
∆V/V = (1 - 2ʋ) ∆L/L ….. (i)
Where
V = Volume of body
L = Length of body
ʋ = Poisson's ratio.
Here we are given that when the body is subjected to a tensile force then the body undergoes no change in volume
∴ ∆V/V = 0 ….. (ii)
Substituting eq. (ii) in (i), we get
0 = (1 - 2 ʋ)∆L/L
⇒ 2 ʋ = 1
⇒ ʋ = 1/2
⇒ ʋ = 0.5
Thus, the Poisson's ratio will be 0.5.
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