In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k. The mass oscillates on a frictionless surface with time period T and amplitude A. When the mass is in equilibrium position, as shown in the figure, another mass m is gently fixed upon it. The new amplitude of oscillation will be:
1
\(A \sqrt{\frac{M}{M+m}}\)
2
\(A \sqrt{\frac{M}{M-m}}\)
3
\(A \sqrt{\frac{M-m}{M}}\)
4
\(A \sqrt{\frac{M+m}{M}}\)