A metal wire length L, cross section area A, and Young’s modulus Y is stretched by a…

Physics · JEE Advanced · NTA ExamsProperties of Solids and Liquids

A metal wire length L, cross section area A, and Young’s modulus Y is stretched by a variable force F. F is varying in such a way that F is always slightly greater than the elastic forces of resistance in the wire. When the elongation in the wire is l, up to this instant
  1. the work done by F is \(\frac{\mathrm{YA} \ell^{2}}{2 \mathrm{~L}}\)
  2. the work done by F is \(\frac{\mathrm{YA} \ell^{2}}{\mathrm{~L}}\)
  3. the elasitc potential energy stored in wire is \(\frac{\mathrm{YA} \ell^{2}}{2 \mathrm{~L}}\)
  4. no energy is lost during elongation

Answer

(C) the elasitc potential energy stored in wire is YA ^ 2 2 ~L

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