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A man is swinging on a swing made of $2$ ropes of equal length $L$ and in direction perpendicular to the plane of paper. The time period of the small oscillations about the mean position is
  • A$2\pi \sqrt {\frac{L}{{2g}}} $
  • B$2\pi \sqrt {\frac{{\sqrt 3 L}}{{2g}}} $
  • C$2\pi \sqrt {\frac{L}{{2\sqrt 3 g}}} $
  • D$\pi \sqrt {\frac{L}{g}} $
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