The frequency of vibration of a guitar string is used to determine the tension on the string. the frequency of vibration, f, of the string depends upon the length, l, of the string, the tension, t, on the string and the mass of the string, m, as: t f 4lm using a digital oscilloscope with a calibration uncertainty of 2%, the frequency of the wave is measured to be 50+2 hz, the length of the string is measured ten times with a meter stick to be 0.72 m with an estimated standard deviation of 0.05 m. the meter stick has a systematic uncertainty of 1 mm. the mass of the string is measured with a digital scale to be 0.050 0.003 kg. a.) write an expression for t in terms of l, m andf (in other words the function b.) identify each source of uncertainty in the measurands of l, m and f. c.) write an expression for the uncertainty in t, u(t), in terms of l, m and f. d.) calculate the value of the standard uncertainty for each source identified in part b in si units and using four sig. figs e.) calculate the values of tt u(t) using the information in parts a, b, c and d f) linearize the t function where in(m) is the dependent variable and in(l) is the independent variable. identify the expressions for the slope and y-intercept.