A flutist assembles her flute in a room where the speed of sound is around 342 m/s. If she plays the note A, it is in perfect tune having a 440 Hz tuning fork. After a few minutes, the air within her flute has warmed to where the speed of sound is around 346 m/s.
i) Determine how many beats per second will she hear when she now plays the note A as the tuning fork is sounded?
ii) Determine how far does she require extending the ‘tuning joint’ of her flute to be in tune with the tuning fork?