# A cylindrical plastic bottle of negligible mass is filled with $310 \mathrm{ml}$ 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 $2.5 \mathrm{~cm}$ then $\omega$ is close to: (density of water $=10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ )

Question:

A cylindrical plastic bottle of negligible mass is filled with $310 \mathrm{ml}$ 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 $2.5 \mathrm{~cm}$ then $\omega$ is close to: (density of water $=10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ )

1. $7.95 \mathrm{rad} \mathrm{s}^{-1}$

2. $1.25 \mathrm{rad} \mathrm{s}^{-1}$

3. $2.50 \mathrm{rad} \mathrm{s}^{-1}$

4. $5.00 \mathrm{rad} \mathrm{s}^{-1}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Oscillations chapter.

JEE Main Previous Year 10 Jan 2019, I

Correct Option: 1

Solution:

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