A wire of length L and area of cross-section A is stretched through a distance x metre by…

Physics · JEE Main · NTA ExamsPhysics and Measurement

A wire of length L and area of cross-section A is stretched through a distance x metre by applying a force F along length, then the work done in this process is (Y is Young's modulus of the material)
  1. \(\frac{1}{2}(\mathrm{AL})\left(\frac{\mathrm{Yx}}{\mathrm{~L}}\right)\left(\frac{\mathrm{x}}{\mathrm{~L}}\right)\)
  2. \((A L)(Y L)\left(\frac{x}{L}\right)\)
  3. \(2(A L)(Y L)\left(\frac{x}{L}\right)\)
  4. \(3(A L)(Y L)\left(\frac{x}{L}\right)\)

Answer

(A) 1 2 ( AL ) ( Yx ~L ) ( x ~L )

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