In the arrangement, spring constant $k$ has value $2\,N\,m^{-1}$ , mass $M = 3\,kg$ and mass $m = 1\,kg$ . Mass $M$ is in contact with a smooth surface. The coefficient of friction between two blocks is $0.1$ . The time period of $SHM$ executed by the system is
  • A$\pi \sqrt {6}$
  • B$\pi \sqrt {2}$
  • C$2\sqrt {2}\pi $
  • D$2\pi $
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