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 at 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
\(A\sqrt {\frac{{M}}{M-m}} \)