Systems \(A\) and \(B\) (Fig.97) having identical mass and springs are set in simple harmonic motion. Which one of the following statement is correct?

Fig. 97

(a) For systems \(A\) and \(B\), the period of vibration is same

(b) System \(B\) has a period of vibration twice that of System \(A\)

(c) System \(B\) has a period of vibration half that of system \(A\)

(d) System \(B\) has a period of vibration \(\sqrt{2}\) times that of system \(A\).

A Fig.97 B