A mass \( 0.9 \mathrm{~kg} \), attached to a horizontal spring, executes SHM with an amplitude \...

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A mass \( 0.9 \mathrm{~kg} \), attached to a horizontal spring, executes SHM with an amplitude \( A_{1} \). When this mass passes through its mean position, then a smaller mass of \( 124 \mathrm{~g} \) is placed over it and both masses move together with amplitude \( A_{2} \). If the ratio \( \frac{A_{1}}{A_{2}} \) is \( \frac{\alpha}{\alpha-1} \), then the value of \( \alpha \) will be
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