$A$ rectangular block of mass $m$ and cross-sectional area $A$ floats on a liquid of density $\rho$. It is given a small vertical displacement from equilibrium,and it starts oscillating with frequency $n$. The frequency $n$ is equal to (where $g$ is the acceleration due to gravity):

  • A
    $\frac{1}{2 \pi} \sqrt{\frac{A \rho g}{m}}$
  • B
    $2 \pi \sqrt{\frac{A \rho g}{m}}$
  • C
    $\frac{1}{2 \pi} \sqrt{\frac{m}{A \rho g}}$
  • D
    $2 \pi \sqrt{\frac{m}{A \rho g}}$

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$A$ rectangular block of mass $m$ and cross-sectional area $A$ floats in a liquid of density $\rho$. If we give it a small vertical displacement from equilibrium,it undergoes $SHM$ with a time period $T$. Then:

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