Answer:
Part(a) : The required distance is 0.15 m.
Part(b) : Yes it is possible.
Explanation:
Part (a):
We know that, for a string to generate harmonic, it has to vibrate with a frequency () given by
where '' is the velocity of the velocity of the wave, '' is the wavelength of the wave for the harmonic, '' is the length of the string.
In order to produce A4 note (440 Hz), i.e., harmonic on the string, if '' be the required length of the string, then
So, to generate a higher harmonic D5 (587 Hz), i.e., harmonic if we consider '' m be distance from the bridge where the player has to put a finger, then
Part (b):
In order to produce G4 note (392 Hz) which is lower harmonic without retuning, the player has to make such an arrangement that will reduce the vibration of the string which in turn increase the waelength of the wave or decrease the frequency.