Question
In figure $(\mathrm{A})$, mass '$2 \mathrm{~m}^{\text {' }}$ is fixed on mass '$\mathrm{m}$ ' which is attached to two springs of spring constant $\mathrm{k}$. In figure (B), mass '$\mathrm{m}$' is attached to two springs of spring constant '$\mathrm{k}$' and '$2 \mathrm{k}^{\prime}$. If mass '$\mathrm{m}$' in (A) and in (B) are displaced by distance '$x^{\prime}$ horizontally and then released, then time period $\mathrm{T}_{1}$ and $\mathrm{T}_{2}$ corresponding to $(\mathrm{A})$ and (B) respectively follow the relation.