(a) Find the frequency of vibration under adiabatic conditions of a column of gas confined to a cylindrical tube, closed at one end, with a well-fitting but freely moving piston of mass m.
(b) A steel ball of diameter 2 cm oscillates vertically in a precision-bore glass tube mounted on a 12-liter flask containing air at atmospheric pressure. Verify that the period of oscillation should be about 1 sec. (Assume adiabatic pressure change with Γ=1.4. Density of steel =7600 kg/m3.)