Question

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​

Answer 1

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)