Two charged spherical conductors of radii \( R_{1} \) and \( R_{2} \) when connected by a conduc...

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Two charged spherical conductors of radii \( R_{1} \) and \( R_{2} \) when connected by a conducting wire acquire charge \( q_{1} \) and \( q_{2} \) respectively. Find the ratio of their surface charge densities in terms of their radii.
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