An air champer 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. Show that when the ball is pressed down a little and released, it executes SHM. Obtain an expression for the time period of oscillation assuming pressure volume variations of air to to be isothermal.

Options

A. `T=2pi sqrt((Ba^(3))/(mV))`
B. `T=2pi sqrt((BV)/(ma^(2)))`
C. `T=2pi sqrt((mB)/(Va^(2)))`
D. `T=2pi sqrt((mV)/(Ba^(2)))`.

Answer

D