In figure \((A),\) mass ' \(2 m\) ' is fixed on mass ' \(m\) ' which is attached to two springs of spring constant \(k\). In figure \((B),\) mass ' \(m\) ' is attached to two spring of spring constant ' \(k\) ' and ' \(2 k\) '. If mass ' \(m\) ' in \((A)\) and \((B)\) are displaced by distance ' \(x\) ' horizontally and then released, then time period \(T_{1}\) and \(T_{2}\) corresponding to \((A)\) and \((B)\) respectively follow the relation.

1. A \(\frac{T_{1}}{T_{2}}=\frac{3}{\sqrt{2}}\)
2. B \(\frac{ T _{1}}{ T _{2}}=\sqrt{\frac{3}{2}}\)
3. C \(\frac{ T _{1}}{ T _{2}}=\sqrt{\frac{2}{3}}\)
4. D \(\frac{ T _{1}}{ T _{2}}=\frac{\sqrt{2}}{3}\)