An air chamber of volume V has a neck area of cross section A into which a ball of mass m just fits and can move up and down without any friction, figure. Show that when the ball is pressed down a little and released, it executes SHM. Obtain an expression for the time period of oscillations assuming pressure volume variations of air to be isothermal.

Options

A. `2pisqrt((Vm)/(A^(2)B))`
B. `2pi sqrt((V^(2)m)/(AB))`
C. `2pi sqrt((Vm^(2))/(AB))`
D. `2pi sqrt((Vm)/(AB^(2)))`

Answer

A