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.

A ball of radius r fits tightly inside a tube attached to a container.

1.	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.
Answer» ANSWER :`T=4sqrt((piV_(0)d)/(3P_(0)R))`