A string of length l = 1.2m is attached at one end to a wave oscillator, which is vibrating at f = 80 hz. The other end of the string is attached to a mass hanging over a pulley. When a particular weight is suspended from the string, a standing wave with two segments is formed. When the weight is reduced by 2.2 kg, a standing wave with five segments is formed. What is the linear density of the string?