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A metal rod having linear expansion coefficient 2 × 10 - 5 ° C - 1 has a length of 1 m at 20 ° C . The temperature at which it is shortened by 1 mm is

Options

  1. A- 20   ° C
  2. B- 15   ° C
  3. C- 30   ° C
  4. D- 25   ° C

Correct answer

C. - 30   ° C

Step-by-step solution

From, l 2 = l 1 1 + α t 2 - t 1 t 2 = t 1 + l 2 - l 1 l 1 α = 20 + - 10 - 3 1 .0 × 2 × 10 - 5 = - 30   ° C

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