An assembly of identical spring-mass systems is placed on a smooth horizontal surface as shown. At this instant, the springs are relaxed. The left mass is displaced to the/left and theiright mass is displaced to the right by same distance and released. The resulting collision is elastic. The time period of the oscillations of system is
  • A$2 \pi \sqrt{\frac{2 m}{k}}$
  • B$2 \pi \sqrt{\frac{m}{2 k}}$
  • C$\pi \sqrt{\frac{m}{k}}$
  • D$2 \pi \sqrt{\frac{m}{k}}$
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