$\begin{array}{1 1}(A)\;5 : 7\\(B)\;1 : 1\\(C)\;7 : 5\\(D)\;25 : 49\end{array} $

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$\large\frac{\Delta l}{l}=$$\alpha_1\Delta \theta$

Stress =$Y\times \large\frac{\Delta l}{l}$

So $Y_1\times \large\frac{\Delta l_1}{l_1}$$=Y_2\times \large\frac{\Delta l_2}{l_2}$

As stress is same

$\Rightarrow Y_1\alpha_1\Delta \theta=Y_2\alpha_2\Delta \theta$

$\Rightarrow \large\frac{Y_1}{Y_2}=\frac{\alpha_2}{\alpha_1}=\frac{7}{5}$

Hence (C) is the correct answer.

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