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 the time period
\(T\) and amplitude
\(A\). When the mass is in an equilibrium position, as shown in the figure, another mass
\(m\) is gently fixed upon it. The new amplitude of oscillation will be :
