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A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by T. The net change in its length is zero. Let l be the length of the rod, A its area of cross-section, Y its Young’s modulus, and α its coefficient of linear expansion. Then, F is equal to :

(1)l2YαΔ(2)IAYαΔT(3)AYαΔT(4)AYαΔT

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