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The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100 ° C is : (For steel, Young's modulus is 2 × 10 11 N m - 2 and coefficient of thermal expansion is 1 . 1 × 10 - 5 K - 1 )

Options

  1. A2 .2 × 10 8   Pa
  2. B2 .2 × 10 9   Pa
  3. C2 .2 × 10 7   Pa
  4. D2 .2 × 10 6   Pa

Correct answer

A. 2 .2 × 10 8   Pa

Step-by-step solution

Young's modulus, Y = F A L Δ L ∴ F A = Y Δ L L = Y α Δ T ∴ P = 2 ×​ 10 11 × 1 .1 × 10 - 5 × 10 2 ∴   P = 2 . 2 × 10 8   Pa

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