Heat and Thermal ExpansionHard
Question
Three rods of equal length joined to from to from an equilateral triangle ABC. D is the midpoint of AB. The coefficient, of linear expansion is α1 for AB and α2 for AC and BC. If the distance DC remains constant for small charges in temperature : -


Options
A.α1 = α2
B.α1 = 2α2
C.α1 = 4α2
D.α1 =
α2
Solution
DC2 = L22 -
⇒ 0 = 2L2ᐃL2 - 
⇒ 0 = 2L2 (θ2L2θ) -
⇒ α1 = 4α2
⇒ 0 = 2L2 (θ2L2θ) -
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