A cylindrical hard-wall tube has a length of 15 cm and cross-sectional area of 4 cm^2. The tube is closed at one end and open to air at the other. (a) determine the first three natural frequencies of the tube (b) Draw the standing wave pattern for both pressure and velocity (c) repeat parts a and b if the right one end is attached to an orifice (Hint: consider the impedance of the orifice to be pure resistive).