Q: Two conducting spheres of radii r1 and r2 are at the same potential. The ratio of their charges 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} $
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Ans: (c)
Sol: $\large V_1 = V_2$
$\large \frac{1}{4 \pi \epsilon_0} \frac{q_1}{r_1} = \frac{1}{4 \pi \epsilon_0} \frac{q_2}{r_2} $
$\large \frac{q_1}{q_2} = \frac{r_1}{r_2} $