The maximum elongation of a steel wire of \(1~\text m\) length if the elastic limit of steel and its Young's modulus, respectively, are \(8 × 10^8 ~\text{N m}^{-2 }\) and \(2 × 10^{11} ~\text{N m}^{-2},\) is:
1. \(0.4~\text{mm}\)
2. \(40~\text{mm}\)
3. \(8~\text{mm}\)
4. \(4~\text{mm}\)
Subtopic:  Young's modulus |
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A wire of length \(L\), area of cross section \(A\) is hanging from a fixed support. The length of the wire changes to \(\mathrm{L}_1\)when mass \(M\) is suspended from its free end. The expression for Young's modulus is:

1. \(\frac{{Mg(L}_1-{L)}}{{AL}}\) 2. \(\frac{{MgL}}{{AL}_1}\)
3. \(\frac{{MgL}}{{A(L}_1-{L})}\) 4. \(\frac{{MgL}_1}{{AL}}\)

Subtopic:  Young's modulus |
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