A student records the period $T$ of one full swing of a pendulum with length $l$. Her measurements are listed in the table: $l / \text{m} = 0.420 \pm 0.001$ $T / \text{s} = 1.3 \pm 0.1$ She applies the equation $T = 2\pi \sqrt{\frac{l}{g}}$ to determine the acceleration of free fall $g$. What is the best estimate of the percentage uncertainty in the value of $g$?
- A0.02%
- B4%
- C8%
- D16%