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JEE Mains · Physics · STD 11- 8. mechanical properties of solids
A uniform wire (Young's modulus \(2 \times 10^{11}\, Nm^{-2}\) ) is subjected to longitudinal tensile stress of \(5 \times 10^7\,Nm^{-2}\) . If the over all volume change in the wire is \(0.02\%,\) the fractional decrease in the radius of the wire is close to
- A \(1.0\times 10^{-4}\)
- B \(1.5\times 10^{-4}\)
- C \(0.25\times 10^{-4}\)
- D \(5\times 10^{-4}\)
Answer & Solution
Correct Answer
(C) \(0.25\times 10^{-4}\)
Step-by-step Solution
Detailed explanation
\(Given,\,y = 2 \times {10^{11}}N{m^{ - 2}}\) \(Stress\left( {\frac{F}{A}} \right) = 5 \times {10^7}N{m^{ - 2}}\) \(\Delta V = 0.02\% = 2 \times {10^{ - 4}}{m^3}\) \(\frac{{\Delta r}}{r} = ?\)…
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