A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

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 ω\omega . If the radius of the bottle is 2.5 cm then ω\omega is close to: (density of water = 103 kg/m310^3 \text{ kg/m}^3 ) (1) 3.75 rad s−13.75 \text{ rad s}^{-1} (2) 1.25 rad s−11.25 \text{ rad s}^{-1} (3) 2.50 rad s−12.50 \text{ rad s}^{-1} (4) 5.00 rad s−15.00 \text{ rad s}^{-1}

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