Question

a body undergoes no change in volume when it is subjected to a tensile force then the poison ratio is​

Answer 1

possion's ratio will be 0.5

a body undergoes no change in volume when it is subjected to a tensile force then the possion's ratio is....

using formula,

∆V/V = (1 - 2v) ∆L/L

where , V represents volume of body , L represents length of body and v represents possion's ratio.

as it is given, there is no change in volume when it subjected to a tensile force.

so, ∆V/V = 0

⇒0 = (1 - 2v)∆L/L

⇒v = 1/2 = 0.5

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Answer 2

Given that,

A body undergoes no change in volume when it is subjected to a tensile force.

No change in volume means

$\dfrac{\Delta V}{V}=0$

We need to calculate the poisson ratio

Using formula of poisson ratio

$\dfrac{\Delta V}{V}=(1-2\sigma)\dfrac{\Delta L}{L}$

Where, $\Delta V$ = Change volume

V = volume

$\Delta L$ = Change length

L = length

$\sigma$ = poisson ratio

Put the value into the formula

$0=(1-2\sigma)\dfrac{\Delta L}{L}$

$\sigma=\dfrac{1}{2}$

$\sigma=0.5$

Hence, The poisson ratio is 0.5.

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Topic : poisson ratio

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