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A ball of radius r fits tightly inside a...

A ball of radius r fits tightly inside a tube attached to a container. There is no friction between the tube wall and the ball. Volume of air inside the container is `V_(0)` when the ball is in equilibrium. Density of the material of the ball is d and atmospheric pressure is `P_(0)`. If the ball is displaced a little from its equilibrium position and released, find time period of its oscillation. Assume that temperature in the container remains constant and that air is an ideal gas.

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The correct Answer is:
`T=4sqrt((piV_(0)d)/(3P_(0)r))`
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