A mass \(m_1\) connected to a horizontal spring performs S.H.M. with amplitude 'A'. While mass \(m_1\) is passing through mean position another mass \(m_2\) is placed on it so that both the masses move together with amplitude \(A_1\). The ratio of \(\dfrac{A_1}{A}\) is \((m_2 < m_1)\)
1
\(\left[ \dfrac{m_1}{m_1 + m_2} \right ]^{\dfrac{1}{2}}\)
2
\(\left[ \dfrac{m_1 + m_2}{m_1} \right ]^{\dfrac{1}{2}}\)
3
\(\left[ \dfrac{m_2}{m_1 + m_2} \right ]^{\dfrac{1}{2}}\)
4
\(\left[ \dfrac{m_1 + m_2}{ m_2} \right ]^{\dfrac{1}{2}}\)