Coefficient of linear expansion of brass and steel rods are $$($$α$$1$$ and α$$2$$. 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? [NEET $$2016$$]

Question

Coefficient of linear expansion of brass and steel rods are $$($$α$$1$$ and α$$2$$. 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? [NEET $$2016$$]

Infinity Learn · Accepted Answer

According to question,Coefficient of linear expansion of brass $$=$$ α$$1Coefficient$$ of linear expansion of steel $$=$$ α$$2Length$$ of brass and steel rods are $$l1$$ and $$l2$$ respectively.As the increase in length (l$$'$$2-l$$'$$1) is same for all temperatures.So,                     l'$$2-l$$'$$1$$ $$=$$ $$l2-l1$$⇒$$l21+$$α$$2$$Δ$$t-l11+$$α$$1$$Δ$$t=l2-l1$$⇒$$l2$$α$$2=l1$$α$$1$$

Coefficient of linear expansion of brass and steel rods are ( $α_{1}$ and $α_{2}$ . Lengths of brass and steel rods are l₁ and l₂, respectively. If $(l_{2} - l_{1})$ is maintained same at all temperatures, which one of the following relations holds good? [NEET 2016]

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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? [NEET 2016]

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Coefficient of linear expansion of brass and steel rods are ( $α_{1}$ and $α_{2}$ . Lengths of brass and steel rods are l₁ and l₂, respectively. If $(l_{2} - l_{1})$ is maintained same at all temperatures, which one of the following relations holds good? [NEET 2016]