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$1 $-$ $l$2) is maintained same at all temperatures, which one of the following relations holds good?
$\alpha $1$l$2 = $\alpha $22$l$1
$\alpha $1$l$1 = $\alpha $2l2
$\alpha $1$l$2 = $\alpha $2$l$1
$\alpha $1$l$22 = $\alpha $2$l$12
Solution
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