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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)` |
Answer» Correct Answer - B Before and after changing the tempreature, `sqrt(l_(2)^(2) - (l_(1)^(2))/(4)) = sqrt([l_(2)(1 + alphat)]^(2) - (1)/(4)[l_(1)(1 + alphat)]^(2))` and `l_(1) = l_(2)` |
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