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)`

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 temperture is

A. `alpha_(1) = alpha_(2)`
B. `alpha_(1) = 4alpha_(2)`
C. `alpha_(2) = 4alpha_(1)`
D. `alpha_(1) = (1)/(2)alpha_(2)`