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Three rods of equal of length are joined to from an equilateral triangle ABC. `D` is the midpoint of AB. The coefficient of linear expansion is `alpha_(1)` for AB and `alpha_(2)` for `AC` and `BC` . If the distance `DC` remains constant for small changes in temperature,

A

`(l_(1))/(l_(2))=2sqrt((alpha_(2))/(alpha_(1)))`

B

`(l_(1))/(l_(2))=2sqrt((alpha_(1))/(alpha_(2)))`

C

`(l_(1))/(l_(2))=sqrt((alpha_(1))/(alpha_(2)))`

D

`(l_(1))/(l_(2))=sqrt((alpha_(2))/(alpha_(1)))`

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A
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