A circular disc has radius R_1 and thickness T_1. Another circular disc made of the same material has radius R_2 and thickness T_2. If the moment of…

A circular disc has radius $\displaystyle R_1$ and thickness $\displaystyle T_1$. Another circular disc made of the same material has radius $\displaystyle R_2$ and thickness $\displaystyle T_2$. If the moment of inertia of both discs are same and $\displaystyle \frac{R_1}{R_2}=2$ then $\displaystyle \frac{T_1}{T_2}=\frac{1}{\alpha}$. The value of $\displaystyle \alpha$ is $\displaystyle \_\_\_\_$.