COMEDK · Physics · 10. Mechanical Properties of Solids
The Poisson's ratio of a material is \(0.1\). If the longitudinal strain of a rod of this material is \(10^{-3}\), then the percentage change in the volume of the rod will be
- A \(0.008 \%\)
- B \(0.08 \%\)
- C \(0.8 \%\)
- D \(8 \%\)
Answer & Solution
Correct Answer
(B) \(0.08 \%\)
Step-by-step Solution
Detailed explanation
If \(\alpha\) and \(\beta\) be the longitudinal strain and lateral strain respectively, then \(\alpha=\frac{l_{2}-l_{1}}{l_{1}}=10^{-3}=0.001\) \(\Rightarrow \quad \frac{l_{2}}{l_{1}}=1.001\) Poisson's ratio,…
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