GATE XE 2023 | Question: 66

Question

\begin{tabular}{|l|l|}
\hline Q.76 & A cylinder made of rubber (length $=L$ and diameter $=d)$ is inserted in a rigid \\
container as shown in the figure. The rubber cylinder fits snugly in the rigid \\
container. There is no wall friction. The modulus of elasticity of the rubber is $E$ \\
and its Poisson's ratio is $v$. The cylinder is subjected to a small uniform pressure $p$ \\
as shown in the figure. The resulting axial strain $\left(\varepsilon_{z z}\right)$ is \\
\hline

• A. \\
  
• B. & $-\frac{p}{E}$ \\
  \hline
• C. \\
  
• D. \\
  $-\frac{p}{E}\left[\frac{(1+v)(1-2 v)}{(1-v)}\right]$ \\
  \hline
  \end{tabular}