Answer
$C. 7.3\times 10^{10}$
Work Step by Step
We know that
$I=\frac{2\pi rB}{\mu_{\circ}}$
We plug in the known values to obtain:
$I=\frac{2\pi(0.13)(1.8\times 10^{-14})}{4\pi\times 10^{-7}}$
$I=1.17\times 10^{-8}A$
Now $n=\frac{I\Delta t}{e}$
We plug in the known values to obtain:
$n=\frac{1.17\times 10^{-8}(1.0)}{1.6\times 10^{-19}}$
$n=7.3\times 10^{10}$