A block of a mass 2 kg is attached with two identical springs of spring constant 20 N / m each. The block is placed on a frictionless surface and the…

A block of a mass $\displaystyle 2$ kg is attached with two identical springs of spring constant $\displaystyle 20 \mathrm{~N} / \mathrm{m}$ each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). When the mass is displaced from its equilibrium position, it executes a simple harmonic motion. The time period of oscillation is $\displaystyle \frac{\pi}{\sqrt{x}}$ in SI unit. The value of $\displaystyle x$ is $\displaystyle \_\_\_\_$.