Search any question & find its solution
Question:
Answered & Verified by Expert
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
Options:
Solution:
2408 Upvotes
Verified Answer
The correct answer is:
$2.5 \%$
$\begin{aligned} & \text { Poission's ratio } \sigma=\frac{\Delta R / R}{\Delta l / l} \\ & \frac{\Delta l}{l}=\frac{\Delta R}{R} \times \frac{1}{\sigma} \\ & =\frac{\Delta R}{R} \times \frac{1}{0.4} \\ & \therefore \text { Increase in length }=\left(\frac{\Delta R}{R} \times \frac{1}{0.4}\right) \times 100 \\ & =\frac{2}{2} \times \frac{1}{0.4}=2.5 \% \\ & \end{aligned}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.