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An air chamber of volume V has a neck ar...

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.

A

`2pi sqrt((Vm)/(A^(2)B))`

B

`2pi sqrt((V^(2)m)/(AB))`

C

`2pi sqrt((Vm^(2))/(AB))`

D

`2pi sqrt((Vm)/(AB^(2)))`

Text Solution

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The correct Answer is:
A
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