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MHT CET20243 May 2024Morning ShiftPhysicsThermal Properties of MatterActual

Two rods, one of aluminium and the other of steel, having initial lengths ' L ₁ ' and ' L ₂ ' are connected together to form a single rod of length ( L ₁+ L ₂ ) . The coefficients of linear expansion of aluminium and steel are ' ₁ ' and ' ₂ ' respectively. If the length of each rod increases by the same amount, when their temperatures are raised by ^ t^ C , then the ratio L ₁ ~L ₁+ L ₂ will be

Options

  1. A₂ ₁
  2. B₁ ₂
  3. C₂ ( ₁+ ₂)
  4. D₁ ( ₁+ ₂)

Correct answer

C. ₂ ( ₁+ ₂)

Step-by-step solution

array ll & Given L ₁= L ₂ ~L ₁ ₁ t = L ₂ ₂ t & L ₁ ~L ₂ = ₂ ₁ ~L ₁ ~L ₁+ L ₂ = ₂ ₁+ ₂ array

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