Two charged conducting spheres of radii $a$ and $b$ are connected to each other by a conducting wire. The…

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:
  1. $\frac{a}{b}~v$
  2. $\sqrt{a b}$
  3. $\frac{b}{a}$
  4. $a b$

Solution

Potential at surface will be same $\begin{aligned} & \frac{\mathrm{Kq}_1}{\mathrm{a}}=\frac{\mathrm{Kq}_2}{\mathrm{~b}} \\ & \frac{\mathrm{q}_1}{\mathrm{q}_2}=\frac{\mathrm{a}}{\mathrm{b}}\end{aligned}$

Asked in: JEE Main 2024 (08 Apr Shift 1)

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