The Young modulus for the material of a wire is to be determined. The Young modulus $E$ is given by the equation below. $E = \frac{4Fl}{\pi d^2 x}$ A known force is used to extend the wire, and the measurements below are obtained. Which measurement has the greatest effect on the uncertainty in the value of the Young modulus calculated?
- Alength of wire before force applied, $l = 2.043 \pm 0.002\,\text{m}$
- Bdiameter of wire, $d = 0.54 \pm 0.02\,\text{mm}$
- Cforce applied, $F = 19.62 \pm 0.01\,\text{N}$
- Dextension of wire with force applied, $x = 5.2 \pm 0.2\,\text{mm}$