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 $\frac{{{A_1}}}{{{A_2}}}$ is
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 $\frac{{{A_1}}}{{{A_2}}}$ is
- [AIEEE 2011]
- A
$\frac{M}{{M + m}}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;$
- B
$\;\frac{{M + m}}{M}$
- C
${\left( {\;\frac{M}{{M + m}}} \right)^{\frac{1}{2}}}$
- D
${\left( {\;\frac{{M + m}}{M}} \right)^{\frac{1}{2}}}$
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