If two rods of length L and 2 L having coefficients of linear expansion α and 2 α , respectively, are connected such that total length becomes 3 L , the average coefficient of linear expansion of the composition rod equals

Question

If two rods of length L and 2 L having coefficients of linear expansion α and 2 α , respectively, are connected such that total length becomes 3 L , the average coefficient of linear expansion of the composition rod equals, 3 2 α, 5 2 α, 5 3 α, none of these

MARKS App · Accepted Answer

Δ l = Δ l 1 + Δ l 2 α e q 3 L Δ T = α L Δ T + 2 α × 2 L Δ T 3 α e q = 5 α ⇒ α e q = 5 3 α

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