A student determines the resistivity ρ \rho\,ρ of a uniform metal wire by measuring its resistance RRR, diameter ddd, and length LLL. The measurements and their absolute uncertainties are:
R=8.0±0.2 Ω R = 8.0 \pm 0.2\ \Omega R=8.0±0.2 Ω d=0.40±0.01 mm d = 0.40 \pm 0.01\text{ mm} d=0.40±0.01 mm L=2.00±0.01 m L = 2.00 \pm 0.01\text{ m} L=2.00±0.01 mWhat is the percentage uncertainty in the calculated resistivity of the wire?
5.5%5.5\%5.5%
8.0%8.0\%8.0%
10.5%10.5\%10.5%
4.3%4.3\%4.3%
