A student records the time $T$ taken for a pendulum with length $l$ to make one full oscillation. The measurements are listed in the table. $l = 0.420 \pm 0.001\,\text{m}$ $T = 1.3 \pm 0.1\,\text{s}$ She applies the equation $T = 2\pi\sqrt{\frac{l}{g}}$ to find the acceleration of free fall $g$. What is the most suitable estimate of the percentage uncertainty in the value of $g$?
- A$0.02\%$
- B$4\%$
- C$8\%$
- D$16\%$