Question

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 $\frac{A_{1}}{A}$ is $\left(m_{2} < m_{1}\right)$

• A. $\left[\frac{m_{1}}{m_{1}+m_{2}}\right]^{\frac{1}{2}}$
• B. $\left[\frac{m_{1}+m_{2}}{m_{1}}\right]^{\frac{1}{2}}$
• C. $\left[\frac{m_{2}}{m_{1}+m_{2}}\right]^{\frac{1}{2}}$
• D. $\left[\frac{m_{1}+m_{2}}{m_{2}}\right]^{\frac{1}{2}}$

Answer 1

Answer: (A)

$\left[\frac{m_{1}}{m_{1}+m_{2}}\right]^{\frac{1}{2}}$

Answer 2

Answer (a) $\left[\frac{m_{1}}{m_{1}+m_{2}}\right]^{\frac{1}{2}}$