What should be the sum of lengths of an aluminium and steel rod at 0 o C is, so that at all temperatures their difference in length is 0.25m. (Take coefficient of linear expansion for aluminium and steel at 0 o C as 22 × 10 -6 / o C and 11 × 10 -6 / o C respectively.)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(0.75m)
Sol. λ 2 – λ 1 = 0.25
λ 1 α 1 = λ 2 α 2
λ 1 ×22 × 10 –6 = λ 2 × 11 × 10 –6
2 λ 1 = λ 2
λ 1 = 0.25 m
λ 2 = 0.50 m ⇒ λ 1 + λ 2 = 0.75 m
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