Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is

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Solution

Q.
Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is [2024]

1 $\frac{b}{a}$

2 $\sqrt{a b}$

3 $a b$

4 $\frac{a}{b}$

Ans.
(4)

$V_{a} = V_{b}$

$\frac{K Q_{a}}{a} = \frac{K Q_{b}}{b} \Rightarrow \frac{Q_{a}}{Q_{b}} = \frac{a}{b}$

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