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 springs of spring constant 'k' and '2k'. If mass 'm' in (A) and in (B) are displaced by distance 'x' horizontally and then released, then time period T1 and T2 corresponding to (A) and (B) respectively follow the relation.
1
\(\frac{T_1}{T_2}=\frac{3}{\sqrt{2}}\)
2
\(\frac{T_1}{T_2}=\sqrt{\frac{3}{2}}\)
3
\(\frac{T_1}{T_2}=\sqrt{\frac{2}{3}}\)
4
\(\frac{T_1}{T_2}=\frac{\sqrt{2}}{3}\)