A horizontal spring block system of (force constant k) and mass M executs SHM of frequency F with amplitude A. When the block is passing through its equilibrium position, an object of mass m is put on it and the two move together. The new amplitude and frequency of oscillations would be
(1) \(f\sqrt{\frac{M}{m+m}}\) and \((\frac{m+M}{M})A\)
(2) \(f\sqrt{\frac{M}{m+m}}\) and \((\frac{M}{m+M})A\)
(3) \(f\sqrt{\frac{m+m}{M}}\) and \((\frac{m+M}{M})A\)
(4) \(f\sqrt{\frac{m+m}{M}}\) and \((\frac{M}{m+M})A\)
