The Poisson’s ratio of a material is 0.4. If a force is applied to a wire of this material, there is decrease of cross-sectional area by 2%. The percentage increase in its length is |
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a) |
3% |
b) |
2.5% |
c) |
1% |
d) |
0.5% |
The Poisson’s ratio of a material is 0.4. If a force is applied to a wire of this material, there is decrease of cross-sectional area by 2%. The percentage increase in its length is |
|||||||
a) |
3% |
b) |
2.5% |
c) |
1% |
d) |
0.5% |
(b)
Poisson’s ratio,
Area
Differentiating
As
= 2
Given
= 2=2
Given 0.4
Or
= 2.5
= 2.5%