Coefficient of linear expansion of brass and steel rods are $α_{1}$ and $α_{2}$ . 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?
$α_{1} l_{2} = α_{2} l_{1}$
$α_{1} l_{1} = α_{2} l_{2}$
$α_{1}^{2} l_{2} = α_{2}^{2} l_{1}$
$α_{1} l_{2}^{2} = α_{2} l_{1}^{2}$

Question

Toppr Admin · Accepted Answer

Both the rods will have same change in length-x21D2-x394-l1-x394-l2-x21D2-l1-x3B1-1-x394-T-l2-x3B1-2-x394-T-x21D2-l1-x3B1-1-l2-x3B1-2

Coefficient of linear expansion of brass and steel rods are α1 and α2. Lengths of brass and steel rods are l1 and l2 respectively. If (l2−l1) is maintained same at all temperatures, which one of the following relations holds good?α1l2=α2l1α1l1=α2l2α21l2=α22l1α1l22=α2l21