Q. Two conducting sphere of radii r$_{1}$ and r$_{2}$ are at the same potential. The ratio of their charges is
A) $r_{1\ \ }^{2}$/ $r_{2}^{2}$
B) $r_{2\ }^{2}$/ $r_{1}^{2}$
C) $r_{1\ \ }^{\ }$/ $r_{2}^{\ }$
D) $r_{2\ \ }^{\ }$/ $r_{1}^{\ }$
Explanation
(c) As $V_{1} = V_{2}\ $
$\frac{q_{1}}{4\pi\varepsilon_{0}r_{1}} = \frac{q_{2}}{4\pi\varepsilon_{0}r_{2}}$
$\therefore\ \ \frac{q_{1}}{q_{2}} = \frac{r_{1}}{r_{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.