Two metal rods of the same lengths and area of cross-sections are fixed end to end between rigid supports. The materials of the rods have Young's moduli Y _ 1 and Y _ 2 and coefficients of linear expansion are α _ 1 and

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Correct answer: A. Y _ 1 α _ 1 = Y _ 2 α _ 2

Here Y _ 1 and Y _ 2 are Young's moduli of the material of the rods and α _ 1 and α _ 2 are the coefficients of thermal expansion. Using Y = (stress)/(strain) , T = YA , where t is the temperature. Tension must be the same in both the rods for their junction to be in equilibrium. ∴ Y _ 1 A α _ 1 t = Y _ 2 A α _ 2 t

Two metal rods of the same lengths and area of cross-sections are...

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