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 the same at all temperatures, which one of the following relations holds good?

Question

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 the same at all temperatures, which one of the following relations holds good?, α 1 l 2 = α 2 2 l 1, α 1 l 2 2 = α 2 l 1 2, α 1 2 l 2 = α 2 2 l 1, α 1 l 1 = α 2 l 2

MARKS App · Accepted Answer

The difference in length is the same, so the increase in length is equal, ∆ l 1 = ∆ l 2 l 1 α 1 ∆ T = l 2 α 2 ∆ T ⇒ l 1 α 1 = l 2 α 2 .

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