Two strings on a musical instrument are tuned to play at 392 Hz (G) and 440 Hz (A).
(a) What are the frequencies of the first two overtones for each string?
(b) If the two strings have the same length and are under the same tension, what is the ratio of their masses (mG/mA)?
(c) If the strings instead have the same mass per unit length and are under the same tension, what is the ratio of their lengths (LG/LA)
(d) If their masses and lengths are the same, what must be the ratio of the tensions in the two strings?