**1.**

The fractional uncertainty in the wave speed = uncertainty in the wave speed/the value of the wave speed

= (1.45+0.019)/47.13 = 0.03117

The basic equation connecting wave speed v, wavelength? and frequency f is

The wave speed in a stretched string depends on the string's tension T and mass per unit length? (also called the "linear mass density") with the equation

Assume you have the following intermediate (i.e., significant figures may be incorrectly stated) experimental results :

L = | 0.812 ? 0.019 m |

f_{1} = | 29.02 ? 1.45 Hz |

T = | 5.08 N (exact) |

**1.** Use the above results to calculate the fractional uncertainty in the wave speed ?_{v}:

**2.** Use the above results to calculate the fractional uncertainty in the linear mass density ?_{?}:

**3.** Then calculate the absolute uncertainty in the linear mass density ?_{?}:

**4.** Finally, state the linear mass density with its uncertainty using correct significant figures (include units):

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