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  • When a rubber cord is loaded, its length increases by . If Poisson's ratio of rubber is 0.4 , the per

When a rubber cord is loaded, its length increases by 0.1 \%. If Poisson's ratio of rubber is 0.4 , the percentage decrease in the diameter of the cord is

Option: 1

0.04 \%


Option: 2

0.08 \%


Option: 3

0.10 \%


Option: 4

0.12 \%


Answers (1)

best_answer

\mathrm{ \begin{aligned} & \text { Poisson's ratio }=\frac{\text { Lateral strain }}{\text { Longitudinal strain }} \\\\ & \text { or } \quad \sigma=-\frac{\Delta D / D}{\Delta L / L} \\\\ & \therefore \quad\left|\frac{\Delta D}{D}\right|=\sigma \times \frac{\Delta L}{L}=0.4 \times 0.1 \% \\\\ & =0.04 \% \\ & \end{aligned} }


\therefore  So the correct choice is (a).

Posted by

HARSH KANKARIA

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