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Two rods of different materials having coefficients of thermal expansion \( \alpha_{1}, \alpha_{2} \) and Young's modulii \( Y_{1}, Y_{2} \) respectively are fixed between two rigid massive walls. The rods are heated such
\( \mathrm{P} \) that they undergo the same increase in temperature. There is no bending of the rods. If \( \alpha_{1}: \alpha_{2}=2: 3 \), the thermal stresses developed in the two rods are equal provided \( Y_{1}: Y_{2} \) is equal to
W
(a) \( 2: 3 \)
(b) \( 1: 1 \)
(c) \( 3: 2 \)
(d) \( 4: 9 \)
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