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NEET2010PhysicsMechanical Properties of SolidsActual

A wire can be broken by applying load of 200 N . The force required to break another wire of the same length and same material, but double in diameter is

Options

  1. A200N
  2. B400N
  3. C600N
  4. D800N

Correct answer

D. 800N

Step-by-step solution

Yaung's modulus Y= F L A l or F= Y A l L or F A or F r^2 or F d^2 F₁ F₂ = d₁^2 d₂^2 Given, d₁=d, d₂=2 d, F₁=200 ~N array ll & 200 F₂ = (d)^2 (2 d)^2 = 1 4 or & F₂=4 200=800 ~N array

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