Question

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. $\sqrt{R_{1}}\mspace{6mu}:\mspace{6mu}\sqrt{R_{2}}$
• B. $R_{1}\mspace{6mu}:\mspace{6mu} R_{2}$
• C. $R_{1}^{2}\mspace{6mu}:\mspace{6mu} R_{2}^{2}$
• D. $R_{1}^{3} ⥂ :\mspace{6mu} R_{2}^{3}$

Answer 1

Answer: (B)

$R_{1}\mspace{6mu}:\mspace{6mu} R_{2}$

Answer 2

Spheres have same potential

i.e. $k\frac{Q_{1}}{R_{1}} = k\frac{Q_{2}}{R_{2}}$⇒ $\frac{Q_{1}}{Q_{2}} = \frac{R_{1}}{R_{2}}$