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Two wires are made of the same material and have the same volume. However wire 1 has crosssectional area A and wire-2 has cross-sectional area 3 A . If the length of wire 1 increases by x on applying force F , how much force is needed to stretch wire 2 by the same amount?

Options

  1. AF
  2. B4 ~F
  3. C6 ~F
  4. D9 ~F

Correct answer

D. 9 ~F

Step-by-step solution

aligned & A ₁ ₁= A ₂ ₂ ₂= A ₁ ₁ ~A ₂ = A ₁ 3 ~A = ₁ 3 ₁ ₂ =3 & x ₁= F ₁ ~A ₁ & x ₂= F ₂ 3 ~A ₂ & Here x ₁= x ₂ & F ₂ 3 ~A ₂= F ₁ ~A ₁ & . ~F ₂=3 ~F ₁ ₁ ₂ =3 ~F ₁ 3= i ) aligned

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