A cylindrical plastic bottle of negligible mass is filled with 310 ml 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 2.5 cm then $\omega$ is close to: (density of water $= 10 ^ { 3 } \mathrm {~kg} / \mathrm { m } ^ { 3 }$) (1) $5.00 \mathrm { rad } \mathrm { sec } ^ { - 1 }$ (2) $2.50 \mathrm { rad } \mathrm { sec } ^ { - 1 }$ (3) $7.9 \mathrm { rad } \mathrm { sec } ^ { - 1 }$ (4) $3.75 \mathrm { rad } \mathrm { sec } ^ { - 1 }$
A cylindrical plastic bottle of negligible mass is filled with 310 ml 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 2.5 cm then $\omega$ is close to: (density of water $= 10 ^ { 3 } \mathrm {~kg} / \mathrm { m } ^ { 3 }$)\\
(1) $5.00 \mathrm { rad } \mathrm { sec } ^ { - 1 }$\\
(2) $2.50 \mathrm { rad } \mathrm { sec } ^ { - 1 }$\\
(3) $7.9 \mathrm { rad } \mathrm { sec } ^ { - 1 }$\\
(4) $3.75 \mathrm { rad } \mathrm { sec } ^ { - 1 }$