A cylindrical plastic bottle of negligible mass is filled with $310ml$ of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic motion at angular frequency $\omega .$ If the radius of the bottle is $2.5cm$ then $\omega$ is close to: $($ density of water $={10}^{3}kg/m^3)$

• A

  5.00 rad ${\sec }^{-1}$
• B

  $2.50 \mathrm{r}\mathrm{a}\mathrm{d}{\mathrm{ sec}}^{-1}$
• Correct answer
  C

  ${\mathrm{7.9\; rad sec}}^{-1}$
• D

  $3.75 \mathrm{r}\mathrm{a}\mathrm{d}{\mathrm{ sec}}^{-1}$

Hence, the correct answer is option: 'C'.