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Solutions
According to question,
Coefficient of linear expansion of brass = α1
Coefficient of linear expansion of steel = α2
Length of brass and steel rods are l1 and l2 respectively.
As given difference in length (l2 − l1) is same for all temperature.
So, l2' - l1' = l2 - l1
⇒ l2 (1 + α2 Δt) − l1(1 + α1 Δt) = l2 − l1
⇒ l2 α2 = l1 α,