Ratio of amplitudes when a mass is placed on an oscillating block at the mean position

1. A.
   $\frac{M + m}{M}$
2. B.
   $\frac{M}{M + m}$
3. C.
   $\left( \frac{M + m}{M} \right)^{\frac{1}{2}}$
4. D.
   $\left( \frac{M}{M + m} \right)^{\frac{1}{2}}$

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1. A.
   $\left[\dfrac{m_1 + m_2}{m_1}\right]^{\frac{1}{2}}$
2. B.
   $\left[\dfrac{m_1}{m_1 + m_2}\right]^{\frac{1}{2}}$
3. C.
   $\dfrac{m_1}{m_1 + m_2}$
4. D.
   $\dfrac{m_2}{m_1 + m_2}$

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1. A.
   $\dfrac{1}{\sqrt{2}}$
2. B.
   $\sqrt{2}$
3. C.
   $2$
4. D.
   $\dfrac{1}{2}$

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