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A copper wire of length 3m and diameter ...

A copper wire of length 3m and diameter 1mm is stretched to increase its length by 0.3cm. What is the lateral contraction, if the Poisson's ratio for copper is 0.25?

A

`1.5 xx 10^(-6) m`

B

`2.5 xx 10^(-5) m`

C

`2.5 xx 10^(-7) m`

D

`3 xx 10^(-7) m`

Text Solution

Verified by Experts

The correct Answer is:
C
`(delta )/(D) = sigma(delta L)/(L) = (0.25 xx 0.3 xx 10^(-2))/(3) = 0.25 xx 10^(-3)`
`:. delta D 25 xx 10^(-5) xx 1 xx 10^(-3) = 2.5 xx 10^(-7) m`
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