Two small identical metal balls of radius rare at a distance a `(a lt lt r)` from each other and are charged, one with a potential `V_(1)` and the other with a potential `V_(2)`. The charges on the balls are:

Options

A. `q_(1)=V_(1)a,q_(2)=V_(2)a`
B. `q_(1)=V_(1)r,q_(2)=V_(2)r`
C. `q_(1)=((V_(1)+V_(2))/(2))a, q_(2)=((V_(1)+V_(2))/(2))r`
D. `q_(1)=-(r)/(a)(rV_(2)-aV_(1)), q_(2)=-(r)/(a)(rV_(1)-aV_(2))`