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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 $\left( {{{{A_1}} \over {{A_2}}}} \right)$ is :
${{M + m} \over M}$
${\left( {{M \over {M + m}}} \right)^{{1 \over 2}}}$
${\left( {{{M + m} \over M}} \right)^{{1 \over 2}}}$
${M \over {M + m}}$

Solution

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