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The posisson's ratio of material is 0.4....

The posisson's ratio of material is `0.4`. If a force is applied to a wire of this material, then therre si a decreases of cross-sectional area by `2%` . The percentage incrases in its length is

A

`3%`

B

`2.5%`

C

`1%`

D

`0.5%`

Text Solution

Verified by Experts

The correct Answer is:
B
`(Delta l)/(l) = ((Delta r//r))/(sigma) , (Delta A)/(A) = 2(Delta r)/(r)`
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Knowledge Check

  • The Poisson's ratio of a material is 0.4. If a force is applied to a wire of this material, there is a decrease of cross-sectional area by 2%. The percentage increase in its length is

    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 a decrease of cross-sectional are a by 2%. The percentage increases in its length is

    A
    0.03
    B
    0.025
    C
    0.01
    D
    0.005

  • The Poisson's ratio of a material is 0.5. If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by 4% . The percentage increase in the length is

    A
    `4%`
    B
    `2%`
    C
    `2.5%`
    D
    `4%`

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