A mass 0.9 kg, attached to a horizontal spring, executes SHM with an amplitude A_1. When this mass passes through its mean position, then a smaller…

A mass $\displaystyle 0.9$ kg , attached to a horizontal spring, executes SHM with an amplitude $\displaystyle \mathrm{A}_1$. When this mass passes through its mean position, then a smaller mass of $\displaystyle 124$ g is placed over it and both masses move together with amplitude $\displaystyle \mathrm{A}_2$. If the ratio $\displaystyle \frac{A_1}{A_2}$ is $\displaystyle \frac{\alpha}{\alpha-1}$, then the value of $\displaystyle \alpha$ will be \_\_\_\_.