Two rods of different materials having coefficients of linear expansion ${\mathrm{\alpha }}_1,{\mathrm{\alpha }}_2$ and Young's moduli ${\mathrm{Y}}_1\text{ and }{\mathrm{Y}}_2$, 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 ${\mathrm{\alpha }}_1:{\mathrm{\alpha }}_2=2:3$, the thermal stresses developed in the two rods are equally provided, ${\mathrm{Y}}_1:{\mathrm{Y}}_2$ is equal to

• A

  2:3

• B

  1:1

• C

  3:2

• D

  4:9