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An equilateral triangle ABC is formed by...

An equilateral triangle `ABC` is formed by joining three rods of equal length and `D` is the mid-point of `AB`. The coefficient of linear expansion for `AB` is `alpha_(1)` and for `AC` and `BC` is `alpha_(2)`. The relation between `alpha_(1)` and `alpha_(2)`, if distance `DC` remains constant for small changes in temperature is

A

`alpha_(2)=3alpha_(1)`

B

`alpha_(2)=4alpha_(1)`

C

`alpha_(1)=3alpha_(2)`

D

`alpha_(1)=4alpha_(2)`

Text Solution

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The correct Answer is:
D
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