Two metal rods pf length L1 and L2 and coefficient of linear a1 and a2 respectively are welded together to make a complete rod of length L1+L2 at 0 degree celcius.Find the effective coefficient of linear expansion of the composite rod
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Answer:
(∝1L1 + ∝2L2) ÷ (L1 + L2)
Explanation:
L = L1 + L2
ΔL = ΔL1 + ΔL2 = ∝1L1Δt + ∝2L2Δt = ∝LΔT
∝1L1 + ∝2L2 = ∝L
∝ = (∝1L1 + ∝2L2) ÷ L = (∝1L1 + ∝2L2) ÷ (L1 + L2)
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