A solid cylinder of density $\rho_0$, cross-section area $A$ and length $l$ floats in a liquid of density $\rho\left( >\rho_0\right)$ with its axis vertical, as shown. If it is slightly displaced downward and released, the time period will be .......

  • A

    $2 \pi \sqrt{\frac{l}{g}}$

  • B

    $2 \pi \sqrt{\frac{\rho_0 l}{\rho g}}$

  • C

    $2 \pi \sqrt{\frac{\rho l}{\rho_0 g}}$

  • D

    $2 \pi \sqrt{\frac{l}{2 g}}$

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