Answer
$T=0.358ns$
Work Step by Step
We can find Time period from the formula:
$T=\frac{2{\pi}m}{qB}$
We plug in the known values to obtain:
$T=\frac{2(3.1416)(9.109\times 10^{-31})}{1.6\times 10^{-19}(0.100)}$
$T=0.35771\times 10^{-9}$
$T=0.358ns$