An air chamber of volume V has a neck of cross-sectional area a into which a light ball of mass m just fits and can move up and down without friction. The diameter of the ball is equal to that of the neck of the chamber. The ball is pressed down a little and released. If the bulk modulus of air is B, the time period of the oscillation of the ball is
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An air chamber of volume V has a neck of cross-sectional area a into which a light ball of mass m just fits and can move up and down without friction. The diameter of the ball is equal to that of the neck of the chamber. The ball is pressed down a little and released. If the bulk modulus of air is B, the time period of the oscillation of the ball iswhat is €? what is ¥ ? what is $? what is ¢? what is π? what is ® ? what is ©? what is £ ?The functions of the given are : 1) PLASMA MEMBRANE or CELL MEMBRANE : ¤ It separates content of cell from its surroundings... ¤ It regulate the entry of certain solids and ions into the cell.27-Mar-2018
Answer:
Let the initial volume and pressure of the chamber be V and P.
Let the ball be pressed by a distance x.
This will change the volume by an amount ax.
Let the change in pressure be
Let the Bulk's modulus of air be K.
This pressure variation would try to restore the position of the ball.
Since force is restoring in nature displacement and acceleration due to the force would be in different directions.
The above is the equation of a body executing S.H.M.
The time period of the oscillation would be