The overall length of a piccolo is 32.0 cm. The resonating air column vibrates as in a pipe open at both ends.
(a) Find the frequency of the lowest note that a piccolo can play, assuming that the speed of sound in air is 340 m/s.
(b) Opening holes in the side effectively shortens the length of the resonant column. If the highest note a piccolo can sound is 4 000 Hz, find the distance between adjacent antinodes for this mode of vibration.