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MHT CET20243 May 2024Evening ShiftPhysicsThermal Properties of MatterActual

Two rods, one of copper (. Cu ) and the other of iron ( Fe ) having initial lengths L ₁ and L ₂ respectively are connected together to form a single rod of length L₁+L₂ . The coefficient of linear expansion of Cu and Fe are _c and _i respectively. If the length of each rod increases by the same amount when their temperatures are raised by t^ C , then ratio of L₁-L₂ L₁+L₂ will be

Options

  1. A_i _c+ _i
  2. B_c _c+ _i .
  3. C_i- _c _c+ _i
  4. D_c- _i _c+ _i

Correct answer

C. _i- _c _c+ _i

Step-by-step solution

aligned & Given L₁= L₂ & L₁ _c t=L₂ _i t & L₁= _i _c L₂ & L₁-L₂ L₁+L₂ = _i _c L₂-L₂ _i _c L₂+L₂ = _i _c -1 _i _c +1 & & = _i- _c _c+ _i aligned

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