AP EAMCET · PHYSICS · Mechanical Properties of Solids
If the longitudinal strain of a stretched wire is \(0.2 \%\) and the Poisson's ratio of the material of the wire is 0.3, then the volume strain of the wire is
- A \(0.12 \%\)
- B \(0.08 \%\)
- C \(0.14 \%\)
- D \(0.26 \%\)
Answer & Solution
Correct Answer
(B) \(0.08 \%\)
Step-by-step Solution
Detailed explanation
\( \epsilon_V = \epsilon_L (1 - 2\nu) \) \( \epsilon_V = 0.002 (1 - 2 \times 0.3) \) \( \epsilon_V = 0.002 (1 - 0.6) \) \( \epsilon_V = 0.002 \times 0.4 \) \( \epsilon_V = 0.0008 \) \( \epsilon_V = 0.08 \% \)
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