For four wires made of the same material,if the same force is applied,in which wire will the increase in length be maximum?

  • A
    Length $100 \, cm$,diameter $1 \, mm$
  • B
    Length $200 \, cm$,diameter $2 \, mm$
  • C
    Length $300 \, cm$,diameter $3 \, mm$
  • D
    Length $50 \, cm$,diameter $0.5 \, mm$

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$A$ copper wire of length $2.4 \ m$ and an aluminum wire of length $0.7 \ m$, both having diameter $2 \ mm$, are connected end to end. When stretched by a load, the total elongation is found to be $0.6 \ mm$. The applied load is (Young's modulus of copper $= 1.2 \times 10^{11} \ N/m^2$ and Young's modulus of aluminum $= 0.7 \times 10^{11} \ N/m^2$). (in $\pi \ N$)

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