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AP EAMCET202317 May 2023Morning ShiftPhysicsMechanical Properties of SolidsActual

A cylindrical rod made of aluminum has length 1 meter and diameter of 10 ~cm . The rod is subjected to a tensile force of 100 kN . The elongation in the rod is (Young's modulus of aluminum =70 GPa )

Options

  1. A0.81 10⁻⁴ ~m
  2. B2 10⁻⁴ ~m
  3. C0.2 10⁻⁴ ~m
  4. D1.81 10⁻⁴ ~m

Correct answer

D. 1.81 10⁻⁴ ~m

Step-by-step solution

Length of aluminum rod, 1=1 ~m Diameter, d =1 ~m Radius, r = 0.1 2 Tensile force, F =100 10^3 ~N Young's modulus of aluminum, y=70 10¹⁹ pa aligned & Y = stress strain = F A l l = F r ^2 1 l & l = Fl r ^2 y & = 100 10^3 1 3.14 (0.05)^2 70 10^9 & =1.81 10⁻⁴ ~m . aligned

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