Coefficient of linear expansion of brass and steel rods are $\alpha_1$ and $\alpha_2$. Lengths of brass and steel rods are $l_1$ and $l_2$ respectively. If $(l_2 - l_1)$ is maintained same at all temperatures,which one of the following relations holds good?

  • A
    $\alpha_1 l_2^2 = \alpha_2 l_1^2$
  • B
    $\alpha_1^2 l_2 = \alpha_2^2 l_1$
  • C
    $\alpha_1 l_1 = \alpha_2 l_2$
  • D
    $\alpha_1 l_2 = \alpha_2 l_1$

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