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AP EAMCET202418 May 2024Morning ShiftPhysicsMechanical Properties of SolidsActual

Two copper wires A and B of lengths in the ratio 1: 2 and diameters in the ratio 3: 2 are stretched by forces in the ratio 3: 1 . The ratio of the elastic potential energies stored per unit volume in the wires A and B is

Options

  1. A2: 1
  2. B4: 9
  3. C16: 9
  4. D4: 3

Correct answer

C. 16: 9

Step-by-step solution

l₁: l₂=1: 2, d₁: d₂=3: 2, ~F ₁: F ₂=3: 1 The elastic potential energy per unit volume is aligned & U= ^2 2 y U ^2 & U₁ U₂ = ( F₁ d₁^2 )^2 ( ~d ₂^2 F₂ )^2= ( 3 1 )^2 ( 2 3 )^4= 16 9 =16: 9 aligned

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