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
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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