Two nonconducting solid spheres of radii \( R \) and \( 2 R \), having uniform volume charge den...

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Two nonconducting solid spheres of radii \( R \) and \( 2 R \), having uniform volume charge densities \( \rho_{1} \) and \( \rho_{2} \), respectively, touch each other. The net electric field at a distance \( 2 R \) from the center of the smaller sphere, along the line joining the center of the spheres is zero. The ratio \( \rho_{1} / \rho_{2} \) can be
(1) \( -4 \)
(2) \( -32 / 25 \)
(3) \( 32 / 25 \)
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