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A cylindrical plastic bottle of negligib...

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 montion angular frequency `omega`. If the radius of the bottle is 2.5 cm then `omega` is close to: (density of water `= 10^(3) kg//m^(3)`)

A

`3.75 rad s^(-1)`

B

`1.25rad s^(-1)`

C

`2.50rad s^(-1)`

D

`5.00rad s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
None
`F_(res)=xApg`, `a=-(Axpg)/m =(Ag)/(v)x`, `omegasqrt((Ag)/(v))=rsqrt((pig)/(v))=2.5sqrt(10)=7.8`
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