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Two rods A and B of identical dimensions are at a temperature of 30 ° C . If A is heated upto 180 ° C and B up to T (measured in ° C ) then the new lengths are the same. If the ratio of the coefficients of linear expansion of A and B is 4 : 3 , then the value of T is

Options

  1. A230   ° C
  2. B200   ° C
  3. C270   ° C
  4. D250   ° C

Correct answer

A. 230   ° C

Step-by-step solution

∆ L 1 = ∆ L 2 L α 1 × 150 = L α 2 × ∆ T 2 ⇒     ∆ T 2 = α 1 α 2 × 150 = 4 3 × 150 = 200   ° C T = 200   ° C + 30   ° C = 230   ° C

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