Q. Two metal spheres of radii $R_{1}$ and $R_{2}$ are charged to the same potential. The ratio of charges on the spheres is
A) $\sqrt{R_{1}}\ :\sqrt{R_{2}}$
B) $R_{1}:R_{2}$
C) $R_{1}^{2}:R_{2}^{2}$
D) $R_{1}^{3}:R_{2}^{3}$
Explanation
(b) Spheres have same potential
$i.e.\ k\frac{Q_{1}}{R_{1}} = k\frac{Q_{2}}{R_{2}} \Rightarrow \frac{Q_{1}}{Q_{2}} = \frac{R_{1}}{R_{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.