WBJEE · Physics · Mechanical Properties of Solids
A compressive force is applied to a uniform rod of rectangular cross-section so that its length decreases by \(1 \%\). If the Poisson's ratio for the material of the rod be \(0.2,\) which of the following statements is correct? "The volume approximately ...........
- A decreases by \(1 \%\)
- B decreases by \(0.8 \%\)
- C decreases by \(0.6 \%\)
- D increases by \(0.2 \%\)
Answer & Solution
Correct Answer
(C) decreases by \(0.6 \%\)
Step-by-step Solution
Detailed explanation
Given, Decrement in the length \(=1 \%\) Poisson's ratio for material of the rod, \(\sigma=0.2\) As we know that, Volume, \(v=\pi r^{2} l,[\) where \(, l\) is the length of the rod \(]\) \[ \frac{\Delta V}{V}=\frac{2 \Delta r}{r}+\frac{\Delta l}{l}...(i) \] since, Poisson's…
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