Answer
(a) $16m$
(b) $110m$
Work Step by Step
(a) We calculate the radius for non-relativistic momentum as
$R=\frac{p}{qb}$
$\implies R=\frac{mv}{qb}$
$R=\frac{(1.673\times 10^{-27})(0.99)(3.00\times 10^{8})}{(1.60\times 10^{-19})(0.20)}$
$R=16m$
(b) Now the radius for the relativistic momentum can be determined as
$R=\frac{mv}{qb\sqrt{1-v^2/c^2}}$
We plug in the known values to obtain:
$R=\frac{(1.673\times 10^{-27})(0.99)(3.00\times 10^8)}{(1.60\times 10^{-19})(0.20)\sqrt{1-(0.99)^2}}$
$R=110m$
