Metals P, Q original length lP, lQ Increase in length ΔlP, ΔlQ Linear expansivities αP, αQ ∴ αP/αQ = 2/3 ; and lP/lQ = 3/4 But increase in length, Δl = αlΔθ ∴ΔlP = αPlPΔθ ΔlQ = αQlQΔθ
∴ Ratio of increase in length of P to Q = 1:2