A guitar string is tuned to A, which has a frequency of 200 Hz and a linear mass density of 8.2 g/m. Another string on the guitar is tuned to a G, which is a frequency of 600 Hz. Both strings vibrate at their fundamental frequency and have the same length. The force of tension on the A string is approx. 6 times the tension of the G string.

a) What is the linear mass density of the G string?

b) What is the ratio of the wave speed on the G string to the wave speed of the A string?