Assume the distance between the Nut and Bridge in the drawing is 0.628 m. The frets are numbered for convenience. A performer can play a musical scale on a single string because the spacing between the frets is designed according to the following rule: When the string is pushed against any fret j, the fundamental frequency of the shortened string is larger by a factor of the twelfth root of two than it is when the string is pushed against the fret j - 1. Assuming the tension in the string is the same for any note, find: (a) the spacing between fret 1 and fret 0 and, (b) the spacing between fret 5 and fret 6. (c) Use the related quantities sensemaking technique to check that your answers are reasonable when compared with each other and when compared to the overall length of the string.