Two particles $($m$1=0\mathrm{.}20$ kg$,$ m$2=0\mathrm{.}30$ kg$)$ are positioned at the ends of a $2\mathrm{.}0-$m long rod of negligible mass. What is the moment of inertia of this rigid body about an axis perpendicular to the rod and through the center of mass?

a$.$

$0\mathrm{.}48$ kg$$m$2$

b$.$

$0\mathrm{.}50$ kg$$m$2$

c$.$

$1\mathrm{.}2$ kg$$m$2$

d$.$

$0\mathrm{.}80$ kg$$m$2$

e$.$

$0\mathrm{.}70$ kg$$m$2$