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AP EAMCET2015PhysicsMechanical Properties of Solids

The length of a metal wire is l₁ when the tension in it is F₁ and l₂ when the tension is F₂ . Then, original length of the wire is

Options

  1. Al₁ F₁+l₂ F₂ F₁+F₂
  2. Bl₂-l₁ F₂-F₁
  3. Cl₁ F₂-l₂ F₁ F₂-F₁
  4. Dl₁ F₁-l₂ F₂ F₂-F₁

Correct answer

C. l₁ F₂-l₂ F₁ F₂-F₁

Step-by-step solution

We have, F₁ (l₁-l ) , where = original length Similarly, F₂ (l₂-l ) , The ratio, F₁ F₂ = l₁-l l₂-l Solving, we get l= F₂ l₁-F₁ l₂ F₂-F₁

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