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 = 2L22L2θ) - ⇒ α1 = 4α2

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