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AP EAMCET2008PhysicsMechanical Properties of Solids

There is some change in length when a 33000 ~N tensile force is applied on a steel rod of area of cross-section 10⁻³ ~m ^2 . The change of temperature required to produce the same elongation, if the steel rod is heated, is (The modulus of elasticity is 3 10¹¹ ~N / m ^2 and the coefficient of linear expansion of steel is .1.1 10⁻⁵ / ^ C ) .

Options

  1. A20^ C
  2. B15^ C
  3. C10^ C
  4. D0^ C

Correct answer

C. 10^ C

Step-by-step solution

aligned & Modulus of elasticity = Force Area l l & aligned 3 10¹¹ & = 33000 10⁻³ l l l l & = 33000 10⁻³ 1 3 10¹¹ & =11 10⁻⁵ aligned aligned Change in length, l l = T aligned 11 10⁻⁵ & =1.1 10⁻⁵ T T & =10 ~K or 10^ C aligned

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