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Two metal rods of the same length and area of cross-section are fixed end to end between rigid supports. The materials of the rods have Young mod ulii Y1 and Y2, and coefficients of linear expansion α1 and α2. The junction between the rods does not shift if the rods are cooled. (a) Y1α1 = Y2α2 (b) Y1α2 = Y2α1 (c) Y1α12 = Y2α22 (d) Y12α1 = Y22α2 |
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Answer» Correct Answer sis: (a) Y1α1 = Y2α2 Tension must be the same in both the rods for their junction to be in equilibrium. Y1Aα1t = Y2Aα2t. |
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