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MHT CET202123 Sep 2021Evening ShiftPhysicsThermal Properties of MatterActual

Two rods of different metals have coefficients of linear expansion ' ₁ ' and ' ₂ ' respectively. Their respective lengths are ' L₁ ' and ' L₂ '. At all temperatures (L₂-L₁ ) is same. The correct relation is

Options

  1. AL ₁ ₁^2= L ₂ ₂^2
  2. B~L ₁^2 ₁^2= L ₂^2 ₂^2
  3. C~L ₁ ₂= L ₂ ₁
  4. D~L ₁ ₁= L ₂ ₂

Correct answer

D. ~L ₁ ₁= L ₂ ₂

Step-by-step solution

For same change in temperature the change in length is same for both the rods. Change in length L = L T L ₁ ₁ T = L ₂ ₂ T Or L ₁ ₁= L ₂ ₂

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