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KVPY2015PhysicsMechanical Properties of Solids

A horizontal steel railroad track has a length of 100 ~m when the temperature is 25^ C . The track is constrained from expanding or bending. The stress on the track on a hot summer day, when the temperature is 40^ C , is (Note: The linear coefficient of thermal expansion for steel is 1.1 10⁻⁵ / ^ C and the Young's modulus of steel is .2 10¹¹ ~Pa )

Options

  1. A6.6 10⁷ ~Pa
  2. B8.8 10⁷ ~Pa
  3. C3.3 10⁷ ~Pa
  4. D5.5 10⁷ ~Pa

Correct answer

C. 3.3 10⁷ ~Pa

Step-by-step solution

F A =Y . T=2 10¹¹ 1.1 10⁻⁵ 153.3 10⁷ ~Pa

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