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Question

Physics Question on mechanical properties of solids

A wire of length 2 m, radius of cross-section 20 mm and Young's Modulus 2×1011 N/m is subjected to a force of 62.8 kN.The change in length of the wire is p×10–5 (in m). Find P.

Answer

The correct answer is 50.
ΔL=FLAY=62.8×1000×23.14×20×20×106×2×1011=50×105m\Delta L=\frac{FL}{AY}=\frac{62.8\times 1000\times 2}{3.14\times 20\times 20\times 10^{-6}\times 2\times 10^{11}}=50\times 10^{-5} m
Hence, the value of P= 50