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# A mass M, attached to a horizontal spring, executes S.H.M. with amplitude

Question:

A mass M, attached to a horizontal spring, executes S.H.M. with amplitude $A_{1}$. When the mass $M$ passes through its mean position then a smaller mass $m$ is placed over it and both of them move

together with amplitude $A_{2}$. The ratio of $\left(\frac{A_{1}}{A_{2}}\right)$ is :-

1. $\left(\frac{\mathrm{M}}{\mathrm{M}+\mathrm{m}}\right)^{1 / 2}$

2. $\left(\frac{\mathrm{M}+\mathrm{m}}{\mathrm{M}}\right)^{1 / 2}$

3. $\frac{M}{M+m}$

4. $\frac{\mathrm{M}+\mathrm{m}}{\mathrm{M}}$

Correct Option: , 2

Solution: