question_answer

Two rods of different materials having coefficients of linear expansion \[{{a}_{1}}\] and \[{{a}_{2}}\]and Young's moduli, \[{{Y}_{1}}\]and\[{{Y}_{2}}\], respectively, are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If \[{{a}_{1}}/{{a}_{2}}=2/3\], then the thermal stresses developed in the two rods are equal, provided \[{{Y}_{1}}/{{Y}_{2}}\] is equal to_______ .

Answer:

3/2