Question

The lateral strain produced in the wire is $0.01\times {10}^{-3}$. If Poisson's ratio is $0.4$, then find the longitudinal strain produced in the wire.

• A. $5\times {10}^{-5}$
• B. $1.25\times {10}^{-5}$
• C. $10\times {10}^{-5}$
• D. $2.5\times {10}^{-5}$

Answer 1

The correct option is D $2.5\times {10}^{-5}$

We know that, $\text{Poisson's ratio}=\frac{\text{Lateral strain}}{\text{Longitudinal strain}}$
$0.4=\frac{0.01\times {10}^{-3}}{\text{Longitudinal strain}}$

$\Rightarrow \text{Longitudinal strain}=2.5\times {10}^{-5}$