Final answer:
To calculate the uncertainty in string density, you need to consider the uncertainties in both the linear density and the mass. Using the ratios of these uncertainties, you can determine the uncertainty in the string density.
Step-by-step explanation:
The uncertainty in string density can be calculated by combining the uncertainties in both the linear density and the mass. The linear density is the mass per unit length of the string, so the uncertainty in the linear density can be found by taking the ratio of the uncertainty in mass to the length of the string. Similarly, the uncertainty in the string density can be found by taking the ratio of the uncertainty in mass to the uncertainty in linear density.
For example, if the linear density of a string is 0.0060 kg/m and the uncertainty in mass is +/- 0.001 kg, and the length of the string is 2.00 m, the uncertainty in linear density is 0.001 kg / 2.00 m = 0.0005 kg/m. Therefore, the uncertainty in the string density is 0.001 kg / 0.0005 kg/m = 2.0 m.