WBJEE · Physics · Mechanical Properties of Solids
The stress along the length of a rod (with rectangular cross-section) is \(1 \%\) of the Young's modulus of its material. What is the approximate percentage of change of its volume? (Poisson's ratio of the material of the rod is \(0.3 .\) )
- A \(3 \%\)
- B \(1 \%\)
- C \(0.7 \%\)
- D \(0.4 \%\)
Answer & Solution
Correct Answer
(D) \(0.4 \%\)
Step-by-step Solution
Detailed explanation
\(\because\) Stress, \(\frac{F}{\Delta A}=1 \%\) of \(Y=\frac{Y}{100}\) But Young's modulus, \(Y=\frac{\text { stress }}{\text { strain }}=\frac{\frac{F}{\Delta A}}{\frac{\Delta l}{l}}\) \(\therefore \quad Y=\frac{\frac{Y}{100}}{\frac{\Delta}{l}} \quad\left(\right.\) putting…
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