Two identical springs of spring constant $2k$ are attached to a block of mass $m$ and to fixed supports (see figure). When the mass is displaced from the equilibrium position on either side,it executes simple harmonic motion. The time period of oscillations of this system is ...... .
- A$2 \pi \sqrt{\frac{m}{k}}$
- B$\pi \sqrt{\frac{m}{2k}}$
- C$2 \pi \sqrt{\frac{m}{2k}}$
- D$\pi \sqrt{\frac{m}{k}}$
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