Two rods of different metals have coefficients of linear expansion $\alpha_1$ and $\alpha_2$ respectively. Their respective lengths are $L_1$ and $L_2$. At all temperatures,$(L_2 - L_1)$ remains the same. The correct relation is:

  • A
    $L_1 \alpha_1^2 = L_2 \alpha_2^2$
  • B
    $L_1^2 \alpha_1^2 = L_2^2 \alpha_2^2$
  • C
    $L_1 \alpha_2 = L_2 \alpha_1$
  • D
    $L_1 \alpha_1 = L_2 \alpha_2$

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