Problem $1$

Scientists in the chemistry department was using a mass spectrometer to analyze ions by observing how they move in a magnetic field. They were using a common isotope oxygen$-16$ ion with a mass of $2\mathrm{.}66{10}^{-26}kg$ travels at $5\mathrm{.}00{10}^6\frac{m}{s}$ perpendicular to a $1\mathrm{.}20-T$ magnetic field, which makes it move in a circular arc with a $0\mathrm{.}231-$m radius.

a$.$ Explain why the positive charge on the oxygen$-16$ ion causes this motion.

b$.$ Calculate the charge.

$[2$ points$]$

c$.$ Determine the ratio of this charge to the charge of an electron?

$[4$ points$]$

$[3$ points$]$