Two conducting spheres of radii r1 and r2 are equally charged. The ratio of their potentials is

Q: Two conducting spheres of radii r1 and r2 are equally charged. The ratio of their potentials is

(a) $\large \frac{r_1^2}{r_2^2} $

(b) $\large \frac{r_2^2}{r_1^2} $

(c) $\large \frac{r_1}{r_2} $

(d) $\large \frac{r_2}{r_1} $

Ans: (d)

Sol: $\large V_1 = \frac{1}{4\pi \epsilon_0} \frac{q}{r_1}  $

$\large V_2 = \frac{1}{4\pi \epsilon_0} \frac{q}{r_2}  $

$\large \frac{V_1}{V_2}  = \frac{r_2}{r_1}  $