Questions 1 a & b, and 2 a, b, c and last question

1. To start a guitar string sounding, you pluck it at L/6 (1/6 of the way from an end). Consider the first 12 normal modes and decide a. which modes will be missing from the resulting sound? b. which modes will be particularly strong? Justify your answers by marking this location on the normal mode diagram given. (This only shows 10 modes, but you can reason about 1 1 and 12.) 2. A vibrating string is playing the note F2 and has all its first 12 modes sounding. You touch the string lightly at L/4. a. which modes are destroyed? b. which modes remain sounding? c. what note do you now hear? Explain your reasoning. Justify your answers by marking this location on the normal mode diagram given